Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters.
What is the volume of the composite figure? Express the answer in terms of π.

144π mm3
168π mm3
312π mm3
456π mm3

Answers

Answer 1

Answer:

312π mm3

Step-by-step explanation: yes

Answer 2

The required volume of the composite figure of the sphere on the top of the cone is 312π mm³. Option c is correct


The sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters. The volume of the composite figure is to determine.


What is volume?

Volume is defined as the ratio of the mass of an object to its density.

Volume of composite figure =  Volume of semi-sphere  + Volume of cone
                                              =   2/3πr³ + 1/3πr²h
                                              =  2/3*6³π + 1/3*6²*14π
                                              =   312π mm³

Thus, the required volume of the composite figure of the sphere on the top of the cone is 312π mm³.

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Related Questions

Help me solve this.50+(3x+4)

Answers

Answer:

50+4=54 and you can't add a number with a letter to th number that doesn't so it is 54+3x.

Step-by-step explanation:

Answer:

54+3x

Step-by-step explanation:

Hope this helps! Have a nice day!

Graph the equation of the line y=3x+4 and use it for your reference to find:
c
Quadrants in which this graph is in. (Use the numbers 1−4)

Answers

Answer:

The line is quadrants 1 2 and 3

Step-by-step explanation:

remember top right is 1

top left is 2

and  bottom left is 3

On a spinner, there are 20 equal-size sections numbered from 1 to 20. Which spinner game is fair?
If you spin a number less than 8, you win.
If you spin a multiple of 5, you win.
If you spin 20, you win.
If you spin a multiple of 2, you win

Answers

If you spin a multiple of 5

Solve dy/dx = (1-x)(1-y)

Answers

Answer:

[tex]y=1-e^{c_{2}}}*e^{-x} *e^{x^2}[/tex]

Step-by-step explanation:

We begin with the differential equation [tex]\frac{dy}{dx} =(1-x)(1-y)[/tex]

Firstly, we need to get the [tex]y[/tex] and [tex]dy[/tex] as well as the [tex]x[/tex] and [tex]dx[/tex] on the same sides as each other

To do this, we can multiply each side by [tex]dx[/tex] and divide each side by [tex](1-y)[/tex]

Doing this will give us the following differential

[tex]\frac{1}{1-y} dy=(1-x)dx[/tex]

Now, we can integrate each side

[tex]\int\limits\frac{1}{1-y} \, dy =\int (1-x) \, dx\\\\-ln(1-y)=x-x^2+c_{1}[/tex]

Now, we need to solve for y

[tex]-ln(1-y)=x-x^2+c_{1}\\\\ln(1-y)=x^2-x+c_{2} \\\\1-y=e^{x^2-x+c_{2}} \\\\y=1-e^{x^2-x+c_{2}}\\\\y=1-e^{c_{2}}}*e^{-x} *e^{x^2}[/tex]

the ratio of boys and girls at the park 9 to 6 and there were 45 boys how many girls are there?

Answers

Answer:

30

Step-by-step explanation:

9 boys: 6 girls

45 boys: ? girls

9 x 5 = 45

6 x 5 = 30

How many different size triangles can be drawn with angle measures 90°, 45°, and 45°?

A. No triangles
B. Exactly one triangle
C. Exactly two triangles
D. Any number of triangles

Answers

Answer:

Step-by-step explanation:

I believe is D because you actually change the measure of two angles as long as the sum of them are 90.

I need help understanding how to solve this please ASAP!!!!

Answers

Answer:

17 cm

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 +b^2 = c^2  where a and b are the legs and c is the hypotenuse

8^2 + 15^2 =c^2

64+225 = c^2

289 = c^2

Take the square root of each side

sqrt(289) = sqrt(c^2)

17 = c

Answer:

The hypotenuse is 17cm

Step-by-step explanation:

Pythagoras theorem is :   [tex]a^{2} +b^{2} =c^{2}[/tex]

To work out the hypotenuse of this triangle you would first need to know Pythagoras theorem. The theorem states that [tex]a^{2} +b^{2} =c^{2}[/tex]. A and B are the 2 lengths given in this question and c is the hypotenuse.

The first step in working out the hypotenuse is to square the base of 8, this gives you 64.

Then you would need to square the height of 15, this gives you 225. This is because we are substituting the values into a and b.

Then the next step is to add the values of 64 and 225, this gives you 289.

The final step is to root the value of 289, which gives you 17cm. This is because as c is the hypotenuse while the value worked out is c squared and so to work out c you would have to root it.

1) Square the base of 8cm.

[tex]8^{2} =64[/tex]

2) Square the height of 15cm.

[tex]15^{2} =225[/tex]

3) Add 64 and 225.

[tex]64+225=289[/tex]

4) Root the value of 289.

[tex]\sqrt{289}= 17cm[/tex]

Which is the graph of f(x) = x2 – 2x + 3?

Answers

Answer:

Step-by-step explanation:

We cannot factor this function out which tells us that there are no zeros. The graph backs this up because we can see that there are none. The easiest way to graph this would start by plugging in points and making a table for yourself.

Lets start by plugging in -1.

(-1)^2-2(-1)+3 =6, this means we have a point at (-1,6).

Now lets plug in 0.

(0)^2-2(0)+3= 3 (0,3)

For plugging in 1

(1)^2-2(1)+3=2 (1,2) (this happens to be the vertex)

And lastly lets plug in 2

(2)^2-2(2)+3=3 (2,3)

Depending on how many points are needed, keep plugging in numbers like we did above.

Answer:

A

Step-by-step explanation:

Edge 2021

HELP!!!!!!!!!



Plz Show working:)​

Answers

Step-by-step explanation:

Hope this help you !! ;))

answer of (ii) : perimeter = 66m

area = 272m^2

Which measure is equivalent to 350 centimeters?

Answers

Answer:

In 350 cm there are 3.5 m . Which is the same to say that 350 centimeters is 3.5 meters

Answer:

Hey!

There are different measures equivalent to 350 cm!

Step-by-step explanation:

SOME ARE: 137.795 inches

                    3.5 metres

                    3500 millimeters  

                    11.4829  feet          

HOPE THIS HELPS!!                                                      

please help mee! ill mark you brainliest! pleaseeee& thank qq!

Answers

Answer:172in

Step-by-step explanation:

Answer:

SA=172

Step-by-step explanation:

SA=2lw+2wh+2lh

=2(10)(2)+2(2)(5.5)+2(10)(5.5)

=172

The parallelogram shown below has an area of 404040 units^2 2 squared.

Find the missing base.

Answers

Question:

The parallelogram shown below has an area of 40 units squared.

Find the missing base.

Answer:

See Explanation Below

Step-by-step explanation:

The question is incomplete as the diagram which shows the dimension of the parallelogram is not attached.

However, I'll give a general explanation on how to get the base of the parallelogram. If you follow this explanation, you'll get the right answer regarding your question.

The area of a parallelogram is calculated as thus.

Area = Base * Height

Given that the area = 40 units²

Let's assume the height of the parallelogram is 10 unit.

All you need to do is to plug in these values in the formula above..

Area = Base * Height becomes

40 = Base * 10

Divide both sides by 10

40/10 = Base * 10/10

4 = Base

Hence, Base = 4 units

Or take for instance the height is 5 units.

You'll still follow the simple steps as it is above.

Area = Base * Height becomes

40 = Base * 5

Divide both sides by 5

40/5 = Base * 5/5

8 = Base

Hence, Base = 8 units

Answer:

8 (above explanation)

Step-by-step explanation:

Julie earns $1800 each month and pays $450 a month for rent. What percent of her income goes toward her rent?

Answers

Answer: 25%

Step-by-step explanation:

450/1800

Answer:

25 percent is what percent of her income that goes towards her rent

I bought a box from the post office that has a volume of 24 cubic centimeters,
Which of the following could be the dimensions of my box?
A. 8cm long, 1cm wide, 3cm high
B.10cm long, 4cm wide, 10cm high
C. 2cm long, 2cm wide, 6cm high

Answers

Answer:

A) Is the answer

Step-by-step explanation:

vol.=LxBxH

8x1x3=24

The dimensions that could be the box with a volume of 24 cubic centimeters are:

8cm long, 1cm wide, 3cm high

2cm long, 2cm wide, 6cm high

Options A and C are the correct answer.

We have,

To determine if the given dimensions could represent the box with a volume of 24 cubic centimeters, calculate the volume for each option and check if it matches the given volume.

Let's calculate the volume for each option:

Option A:

Length = 8 cm, Width = 1 cm, Height = 3 cm

Volume = Length × Width × Height

Volume = 8 cm × 1 cm × 3 cm

Volume = 24 cubic cm

Option A could be the dimensions of the box

Option B:

Length = 10 cm, Width = 4 cm, Height = 10 cm

Volume = Length × Width × Height

Volume = 10 cm × 4 cm × 10 cm

Volume = 400 cubic cm

Option B does not have a volume of 24 cubic cm.

Option C:

Length = 2 cm, Width = 2 cm, Height = 6 cm

Volume = Length × Width × Height

Volume = 2 cm × 2 cm × 6 cm

Volume = 24 cubic cm

Option C could be the dimensions of the box.

Therefore,

The dimensions of the box with a volume of 24 cubic centimeters are:

8cm long, 1cm wide, 3cm high

2cm long, 2cm wide, 6cm high

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Which is a solution for the equation 3x + 13 = 73?

Answers

Answer:

x=20

Step-by-step explanation:

73-13=60

60÷3=20

Answer:

x = 20

Step-by-step explanation:

3x + 13 = 73

3x = 73 - 13

3x = 60

x = 60 : 3

x = 20

the gift shop at a science museum sells lollipops that are made to look like the planets. each lollipop is shaped like a sphere and has a radius of 12 mm

what is the volume of each lollipop?

Answers

Answer:

12mm

Step-by-step explanation:

Because you have not sayed how many lollipops

Answer:

7238.23

Step-by-step explanation:

help me answer this question

Answers

Answer:

c

Step-by-step explanation:

25/6 = 4.166666666667

sine it is the 6 that is repetitive, we place the bar on the 6 only

Part 2/2 6-10
Im so tired and staring at a bright screen gives me a headache =/

Answers

Answer:

Step-by-step explanation:

the first 1 is lamarck

the second one is 1,3,4

then last one is the 4th one

find the area of the trapezoid could you go​

Answers

Answer: 11.31372

Step-by-step explanation:

Find the height using pythagorean theorem

1+b^2=9

you should get radical 8

2. Then plug your values into the formula and you get your answer

X is at least 2" can be represented by x > 2.

True
False

Answers

Answer:

True

Step-by-step explanation:

Answer: False

Explanation: if x was atleast 2, the sign would have to be a ‘greater than or equal to’ sign, not just a greater than sign

hope this helped! :)

Find the slope of the line that passes through (10, 8) and (1, 16).
Simplify your answer and write it as a proper fraction, improper fraction, or integer

Answers

The correct answer is -8/9

Answer:

-8/9 is the answer


The graph shows the distance from home over time on a 1200 km automobile trip.
Find the average speed for the entire trip.
A. 25 km/h
D. 1200 km/h
E 1225 km/h
B. 48 km/h
C. 1175 km/h

Answers

Answer:

48 km/h.

This is because 1200/25 is 48.

The total distance is 1200 km, and the total time is the time taken to complete the entire journey-26 h
Average speed=total distance/total time=1200/25=48 km/h.

The image of the point (1, -2) after a rotation of 180° about the origin is

(-2, 1)
(2, -1)
(-1, 2)

Answers

Answer:

(-1,2)

Step-by-step explanation:

Found answer on brainly.

Answer:

(-1,2)

Step-by-step explanation:

In this problem, the signs are switched because there is a rule to 180 rotation that is (x,y) to (-x,-y).

(1,-2)×(-1x, -1y)= (-1,2) .

if both points were negative, the points would be positive. if they were positive, they would be negative.

18 divided by s = 33

Answers

18/s = 33

18 = 33 x s

18/33 = s

0.54 = s

Hope it helps :)

Step-by-step explanation:

s=18/33

0.5454......

Answer Choices:
x = 27
x = 25
x = 28
x = 26

Answers

Answer:

I think its 26,I think I'm not right,but still,I wanna help...

Mike is grilling steaks for dinner. The grilling surface is shown below. Each steak requires approximately 0.25 square feet of the grill's surface. What is the maximum number of steaks that Mike can grill at the same time? 2.5 feet 2 feet 3.5 feet

Answers

Answer: 32 steaks

Step-by-step explanation:

Given data:

Each steak surface requirement = 0.25 square feet of the grill.

Maximum number of steaks mike can grill at

2.5 feet

2 feet and

3.5 feet

Solution.

At 2.5 feet

= 2.5 / 0.25

= 10 steaks

At 2 feet

= 2 / 0.25

= 8 steaks

At 3.5 feet

= 3.5 / 0.25

= 14 steaks

Total number of steaks

= 10 + 8 + 14

= 32 steaks

(5×7) + 3 = 5 ×(2×7) true or false

Answers

Step-by-step explanation:

35 + 3 = 5 x 14

38 = 70

False

Answer:

false

Step-by-step explanation:

(5×7)+3

(35)+3

38

5×(2×7)

5×(14)

70

What is the measure of 1?

95°
90°
80°
85°

Answers

Answer:

85°

Step-by-step explanation:

We need to use the angle fact that angles in a quadrilateral add up to 360° and that a right angle is 90°, using this information we can for an equation to find the value of 1. Lets call "1" x so we don't confuse it with an angle. So,

x + 85 + 100 + 90 = 360

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 90 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

x + 85 + 100 + 90 = 360

→ Simplify equation

x + 275 = 360

→ Minus 275 from both sides to isolate x

x = 85

The measure of angle '1' is 85°

Answer:

85°

Step-by-step explanation:

∠1+85°+100°+90°= 360°

∠1 = 360°- 275°= 85°

∠1 =85°

Which could be the area of a face of the rectangular prism?

A) 5m2
B) 6m2
C) 7m2
D) 9m2​

Answers

Answer:

D) 9 m2

Step-by-step explanation:

a rectangular prism has six rectangular faces or sides, its surface area is just the sum of the six faces, you can calculate the surface area with the formula 2 length  width + 2 * width * height + 2 * height * length, where length, width and height.

B. 6m^2

Step-by-step explanation:

I just found the area of the faces and chose the one that was an answer choice

17. Which of the following forces is not a
long-range force?
A) gravitational force
B) friction
() electric force
D) magnetic force

Answers

Answer: D. Magnetic Force

Step-by-step explanation:

The range isn't compatible from a long distance. Only when close to contact.

Answer:

the answer is magnetic force

hope this helps u

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