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GH Surface Area & Volume Review

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

The total surface area of a cylinder is 40π.

If the height is 8, find the radius.

a)

2

b)

3

c)

4

d)

5

2.

Find the surface area.

a)

65π cm2

b)

90π cm2

c)

85π cm2

d)

100π cm2

3.

What is the surface area of this composite figure?

a)

60π cm 2

b)

45π cm 2

c)

57π cm 2

d)

48π cm 2

4.

What happens to the volume of a sphere if the radius is doubled?

a)

It gets 2x bigger

b)

It gets 4x bigger

c)

It gets 8x bigger

d)

It gets 16x bigger

5.

A cylinder and a cone have the same radius and height. If the volume of the cone is 24π cm3, what is the volume of the cylinder?

a)

24π cm3

b)

72π cm3

c)

8π cm3

d)

243π cm3

6.

Sixteen cylinders, each with a radius of 3 cm and a height of 9 cm, are placed neatly inside of a box as a single layer with 2 rows of 8 cylinders each. Find the volume of the box.

a)

1296 cm3

b)

2592 cm3

c)

3054 cm3

d)

5184 cm3

7.

A ball is placed in a box where the ball touches each side of the box when closed. If the diameter of the ball is 12 inches, what is the volume of the space between the ball and the box?

a)

823.22 in3

b)

904.78 in3

c)

2632.78 in3

d)

5510.23 in3

8.
Two spheres have a scale factor ratio of 1:3.  The smaller sphere has a surface area of 16 ft2.  Find the surface area of the larger sphere.
a)
48 ft2
b)
144 ft2
c)
432 ft2
d)
32 ft2
9.

The surface area of a certain pyramid is 54 square meters. Its volume is 648 cubic meters. If a similar pyramid has a volume of 8232 cubic meters, what is its surface area?

a)

686 m2

b)

168 m2

c)

126 m2

d)

294 m2

10.

A cone has a volume of 320π and height 15. Find the total surface area.

a)

200π200\pi  

b)

368π368\pi  

c)

264π264\pi  

d)

136π136\pi  

11.

A regular square pyramid has lateral area of 60 and a base edge of 6. Find its volume.

a)

48

b)

60

c)

12

d)

None of these

12.

A regular square pyramid has a base edge of y and a height of 3x.

A regular rectangular prism has base edges of y and a height of x.

Which shape has the greater volume?

a)

The pyramid has a greater volume.

b)

The prism has a greater volume.

c)

They have the same volume.

d)

There is not enough info in this problem.

13.

The base of a right prism is a regular hexagon with side 4. The height of the prism is 6. What is the volume of the prism?

a)

144 3144\ \sqrt[]{3}  

b)

72 372\ \sqrt[]{3}  

c)

288 3288\ \sqrt[]{3}  

d)

168 3168\ \sqrt[]{3}  

14.

A regular square pyramid has a volume of 384. If it has a base edge of 12, find the length of the lateral edge.

a)

10

b)

2 342\ \sqrt[]{34}  

c)

2 172\ \sqrt[]{17}  

d)

2 732\ \sqrt[]{73}  

15.

A cylindrical can that can hold 14 cubic inches of liquid is used to fill a bowl that is shaped like a hemisphere. If the diameter of the bowl is 18 inches, about how many cans will it take to fill the bowl?

a)

109

b)

1745

c)

218

d)

872