A cylindrical bucket and spherical storage container are shown. The bucket has a radius of 6 inches and a height of 15 inches, and the storage container has a diameter of 24 inches. Nicholas says he can fill the entire storage container with seef by filling the bucket four times and pouring the contents into the container. Is Nicholas correct? Explain why or why not.

Answers

Answer 1

Answer:

since the ratio of both volumes is approximately 4, then we can say Nicholas is correct

Step-by-step explanation:

Firstly, what we need to do is to calculate the volume of both.

For the cylindrical bucket, the volume can be calculated as

pi * r^2 * h

where r is 6 inches and h is 15 inches

The volume is thus

pi * 6^2 * 15 = 540pi inches*3

For the spherical storage, the volume can be calculated using the formula

V = 4/3 * pi * r^3

with r = d/2 = 24/2 = 12 inches

The volume is thus;

V = 4/3 * pi * 12^3 = 2,304 pi inches^3

Now, to confirm the validity of Nicholas’ claims, we shall divide the volume of the spherical storage by the volume of the cylindrical container.

Mathematically that would be 2,304pi/540 pi = 4.267 which is approximately 4 times


Related Questions

Georgianna wants to use the linear model associated with the data in the table to make a prediction.

A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 0, 5, 10, 15, 30. The second column is labeled distance (miles) with entries 0, 4, 9, 13, 18.
Which range of time values describes the entire interval over which she would be interpolating?

0 to 5 minutes
0 to 18 minutes
0 to 30 minutes
18 to 30 minutes

Answers

Answer:

0 to 30 minutes on edg.

Step-by-step explanation:

Answer:

c on e 2020

Step-by-step explanation:

3. A publisher printed 30,000 copies of an edition of a book. Each copy of the book cost the publisher 45Gp to produce and it is sold to the public for 76Gp. The publisher agrees to pay the author 10% of the selling price of the first 6000 copies sold, and 12% of the selling price for all copies sold in excess of 6000. Altogether 25,300 copies of the book are sold. Calculate, correct to the pesewa: I) the total amount received by the author

Answers

Answer:

The total amount received by the author is of 221,616Gp.

Step-by-step explanation:

25,300 copies sold.

For the first 6000, he receives 10% of the selling price of 76 Gp.

For those in excess of 6000, that is, the next 25300 - 6000 = 19300, he receives 12% of the selling price of 76 Gp.

Total amount received by the author:

6000*0.1*76 + 19300*0.12*76 = 221,616

The total amount received by the author is of 221,616Gp.

A rectangles length is three more than twice the width. The perimeter of the rectangle is 72 units. Write a let statement that can be used to find the length and width of the rectangle. Write an equation that can be used to find the length and width of the rectangle. Solve the equation. What is the length of the rectangle? What is the width of the rectangle?

Answers

Answer:

The length is 25 units and the width is 11 units

Step-by-step explanation:

Let the length of the rectangle be l.

Let the width of the rectangle be w.

We are given that the length of the rectangle is three times more than twice its width. This means that:

l = 3 + 2w

The perimeter of a triangle is given as:

P = 2(l + w)

This implies that:

P = 2[(3 + 2w) + w]

P = 2(3 + 3w)

We can use this to find the width of the rectangle and then the length.

The perimeter of the rectangle is 72 units.

Therefore:

72 = 2(3 + 3w)

72 = 6 + 6w

=> 6w = 72 - 6 = 66

w = 66 / 6 = 11 units

The length, l, is therefore:

l = 3 + 2(11) = 3 + 22 = 25 units

Sammy has 2 pair of jeans, 3 pair of black pants, and 1 skirt. She also has 2 pink shirts, 4 striped shirts, and 2 hooded sweatshirts. How many different outfits can Sammy make?

Answers

Answer: 72

Step-by-step explanation:

Ok, in her legs the options are:

2 jeans + 3 black pants + 1 skirt = 6 options.

on her torso the options are:

2 pinks shirts + 4 striped shirts = 6 options.

And on top of that she has:

2 hooded sweatshirts = 2 options.

The total number of combinations is equal to the product of options for each type of garmet; this is:

C = 6*6*2 =36*2 = 72

So she has 72 different outfits.

Answer:

It is 70 becouse of how many clothing ther is and u just mulytly

it tell me if im right or wrong

thanks stay safe

byebye

Step-by-step explanation:

write the equation of a line through the points (2,3) and (-1,-9)

Answers

Answer:

with the points (2,3) and (-1,-9) the answer is y=4x+10

Step-by-step explanation:

you have to do (x1,y1) (x2,y2) thats for each point

the equation to get the slope is y2-y1 divided by x2,x1

to get the y-intercept to plug in one of the points to the slope-intercept equation

y=4x+5

I picked the points (2,3) but you should get the same answer with the other points

3=4(2)=5

3=8+5

3=13

-3+-3

=10 thats your y intercept.

plzzzzzzzzzzzzzaaaaaa

Answers

Answer:

C

Step-by-step explanation:

[tex]y^2+4y-32=0\\(y+8)(y-4)=0\\y=4,-8[/tex]

Therefore, the answer is C. Hope this helps!

Find the vertex of the parabola. Write your answer as an ordered pair.



y equals 2 x squared plus 3

Answers

Answer:

(0,3)

Step-by-step explanation:

When X=0, Y=3

Follow the steps to finish solving the equation -3x + 18 = 7x
1. Add 3x to both sides to isolate the variable term.
2. Divide both sides by 10.
Xa

Answers

Answer:

Don’t really know what the question is, but these are the answers for x

Starting at home, Michael traveled uphill to the gift store for 25 minutes and just 10 mph. He then travel back home along the same path downhill at the speed of 30 mph.

What is his average speed for the entire trip from home to the gift store and back?

Answers

Answer:it took him 8 minutes on the return trip, for a round-trip time of 32 minutes. his average speed was (8mi/32min) (60min/hr)=15 mph for the whole trip

Step-by-step explanation:

Correct answers only please!

Correct answers only!

To the nearest cent, how much will she have in 2 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

$ 6.30

Step-by-step explanation:

A = P + I where

P (principal) = $ 6.00

I (interest) = $ 0.30

A = P(1 + r/n)nt

The height of a cone is twice the radius of its base.
What expression represents the volume of the cone, in
cubic units?
orx?
2/3 pi x ^3
4/3 pi x ^2
2 pi x^3
4 pi x ^3

Answers

Answer:

This first expression is correct

V= 2/3*pi*r³

Step-by-step explanation:

This problem bothers on the volume of a cone

We know that the volume of a cone is expressed as

V= 1/3πr²h

Given that h= 2r

Let us substitute h=2r in the formula above

V= 1/3πr²*2r

V= 2/3πr³

The Answer Is:

2/3pix^3






I am Giving 50 points
Hailey organizes a New Year’s party. There are 16
pastries at the party, 7 of the pastries
are chocolate. What is the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry?

Answers

7/16 maybe

...............

Answer:

7/16

Step-by-step explanation:

the relative

frequency probability that a randomly

selected pastry will be a chocolate

pastry is 7/16

1. A man has 5 grandchildren, 4 girls and 1 boy. He thinks this is unusual. If the probability that any child born
will be a girl is 1/2, what is the probability that a person who has 5 grandchildren will have exactly 4
granddaughters? Is this case unusual? Explain.
2 To be on the safe side three detectors were installed in a facton moon

Answers

Answer:

6.25%

Step-by-step explanation:

To know the final probability that this has happened, we must multiply the probability of each event, they tell us that the probability that it is a girl is 1/2 and this happened 4 times, therefore:

(1/2) ^ 4 = 0.0625

that is, the probability that 4 girls are born is 6.25%

an unusual probability is considered when it is less than 5%, therefore, although it approaches this figure, it is not unusual

does any of yall know the answer to this shat?

Answers

Answer:

s=2

Step-by-step explanation:

subtract 21 from both sides= -3s=-6

divide by -3 to get s alone

s=2

s = 2

Step-by-step explanation:

subtract 21 to both sides

-3s= -6

then divide by -3 both sides to isolate  s variable

s= 2

Two children are playing a code-breaking game. One child makes a sequence of three colors from red, yellow, blue, and purple. The other child must guess the sequence of colors in the correct order. Once one color is used, it cannot be repeated in the sequence.

What is the probability that the sequence is guessed on the first try?

StartFraction 1 Over 24 EndFraction
One-eighth
One-fourth
One-third

Answers

Answer:

1/24

Step-by-step explanation:

i just took it

The probability that the sequence is guessed on the first try is 1/24.

Probability

Total colors available for making code=4

Colors required for making code=3

Hence:

Total ways of making code=4p3=4!/(4-3)!

=4×3×2×1/1

=24

Probability that the sequence is guessed on the first try=1/Total ways of making code

Probability that the sequence is guessed on the first try=1/24

Therefore the correct option is A.

Learn more about probability here:https://brainly.com/question/24756209

#SPJ9

How many hundredths are in one tenth? Explain using pennies and dimes.

Answers

Answer:

11 ways

100 Pennies & 0 Dimes

90 Pennies & 1 Dimes

80 Pennies & 2 Dimes

70 Pennies & 3 Dimes

60 Pennies & 4 Dimes

50 Pennies & 5 Dimes

40 Pennies & 6 Dimes

30 Pennies & 7 Dimes

Step-by-step explanation:

HELPPPPP I HAVE NO CLUE ON WHAT TO DO

Answers

Answer:

B 86

Step-by-step explanation:

ABCD = EFGH

A = E

B = F

C = G

D = H

Round cake has a diameter of 30 cm . Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake . What's the circumference

Answers

Answer:

circumference of the cake board = 109.9 cm

Step-by-step explanation:

diameter of cake = 30cm

diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm

radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm

radius of cake board = 17.5 cm

circumference of a circle = 2 × π × r    (where π = 3.14)

circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm

Therefore the circumference of the cake board = 109.9 cm

Answer:

35pi

Step-by-step explanation:

brainliest maybe?

What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?

–4
8
12
24

Answers

Answer:

8

Step-by-step explanation:

0 = –x^2 + 4x – 2

This is of the form

ax^2 +bx +c

a = -1  b = 4  x = -2

The discriminant is

b^2 -4ac

4^2 - 4(-1)(-2)

16 - 8

8

Solve for the height (h) of this triangular prism if the volume is 1080. The

volume of a triangular prism is V = (B)(h), where B is the area of the

triangle. Remember the area of a triangle is 1/2(b)(h). BE CAREFUL

BECAUSE THERE ARE TWO HEIGHTS, ONE FOR THE TRIANGLE AND ONE

FOR THE TRIANGULAR PRISM. *

h

15

8

Answers

Answer: 18

Step-by-step explanation:

Area of triangle = (0.5) × base(b) × height(h)

Base of triangle = 8

Height of triangle = 15

Area of triangle = (0.5) × 8 × 15 = 60

Volume of triangular prism = B × height

Where h = height

B = area of triangle

Volume of triangular prism = 1080

Find the height(h) of the triangular prism

Volume of triangular prism = B × height

1080 = 60 × h

h = 1080 / 60

h = 18

In a classroom of 20 students, 70% of them have brown eyes. If a teacher picks two students
at random to pass out supplies, what is the probability he chooses two students without brown
eyes?
49
A)
100
B)
91
190
3
C)
38
9
D)
100

Answers

Answer:

The probability is 9/100

Step-by-step explanation:

First, we know that 70% of the students are with brown eyes. Since we have a total of 20 students, this corresponds to 70/100 * 20 = 14 students

The number of students without brown eyes is thus 20 -14 = 6 students

Now, the probability of selecting a student without brown eyes is 14/20 = 7/10 while the probability of selecting a student with brown eyes is 6/20 = 3/10

Now the probability of selecting two students without brown eyes mean, the first selected is without brown eyes and also the second selected is without brown eyes.

In probability, once we have the work and, we multiply.

So our answer here is 3/10 * 3/10 = 9/100

help me write in scientific notation <3

5,540,000,000 = ____________

0.000025409 = ____________

Answers

Answer:

<3 I want brainliest!!!

Step-by-step explanation:

1) 5.54 x 10^9

2) 2.5409 x 10^-5

Is -20.33 rational or irrational?

Answers

Answer:

No it is irrational (looked at it wrong)

Mei is carrying seven pages of math homework and six pages of English homework.A gust of wind blows the pages out of her hands and she is only able to recover seven random pages what is the probability that she recovers exactly three pages of her math homework

Answers

Answer:

probability of recovering exactly 3 pages of homework = 35/286

Step-by-step explanation:

She carries seven pages of math homework and six pages of English.

Thus, total pages = 7 + 6 = 13 pages.

Now, wind blows all the 13 pages out of her hands, we want to find out the probability of recovering exactly 3 pages of homework.

There are a total of 7 pages of maths homework from the question.

Thus,

First page = 7/13

Second page = 6/12

Third page = 5/11

So,probability of recovering exactly 3 pages of homework = (7/13) * (6/12) * (5/11) = 35/286

Frankie was practicing for a 5 kilometer race his normal time is 31 minutes and 24 seconds but yesterday he took 29 minutes and 50 seconds how much time came of his normal time

Answers

Answer: 1 minute 34 seconds

Step-by-step explanation:

From the question, Frankie was practicing for a 5 kilometer race and his normal time is 31 minutes and 24 seconds but yesterday he used 29 minutes and 50 seconds. To calculate how much time came of his normal time, we are going to find the difference between the yesterday's time and normal time. This will be:

31 minutes 24 seconds - 29 minutes 50 seconds = 1 minute 34 seconds

Brainliest!!!
What is 30 divided by 5?
Really Easy!

Answers

Answer:

6

Step-by-step explanation:

Answer:

The answers 6 gorgious

what is the voulme of a cube with the side length of 5

Answers

Answer:

This is the correct answer

Step-by-step explanation:

The V = 125

Can somebody help me with this question. I need to choose one answer.​

Answers

We are trying to find H.

8+h/10=1

Both sides have to equal 1.

So if we input h=2, then 8+2=10.

10/10=1

1=1

The answer will be B, h=2.

I hope this helps! :)

Answer:

the answer is B

Step-by-step explanation:

8+2=10 and 10/10=1

The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?

Answers

Answer:

32/3 x pi or 32/51 rounded to the nearest hundredths

Step-by-step explanation:

4/3 x r^3 x pi

=32/3 x pi

Answer:

Step-by-step explanation:

volume of the sphere fomular = [tex]\frac{4}{3} * \pi *r^{2}[/tex]

The diameter of a sphere is 4 centimeters -> radius = r = 2 cm

-> volumn = [tex]\frac{4}{3} *\pi *2^{2}[/tex]

                 = 16.7466666 cm3

Evaluate [tex]\int\limits^e_0 {\frac{1}{x} } \, dx[/tex]

1

e^2-1/(1)

0

The integral diverges.

I think it is the last option, but I am not entirely sure.

Answers

Answer:

The integral diverges.

Step-by-step explanation:

∫₀ᵉ 1/x dx

(ln|x| + C) |₀ᵉ

ln|x| is undefined as x approaches 0, so the integral diverges.

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Cash crops were not successful there.O B. Agriculture was the major economic activity.C. Slavery was against the law in these colonies.D. There was very little religious freedom. Quadrilateral CDEF is inscribed in circle A. Which statements complete the proof to show that CFE and CDE are supplementary?Quadrilateral CDEF is inscribed in circle A.Quadrilateral CDEF is inscribed in circle A, so m arc CDE+ m arc CFE= 360. CFE and CDE are _________________, which means that their measures are one half the measure of their intercepted arcs. So, m arc CDE= 2 mCFE and arc CFE= 2 mCDE. Using the _________________, 2 mCFE + 2 mCDE = 360. Using the division property of equality, divide both sides of the equation by 2, resulting in mCFE + mCDE = 180. 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