Quiz about Volume of Cylinder, Cones, & Spheres

Question 1

Which word best describes this image?

Accepted Answer

Cone

Answer

Cylinder

Answer

Sphere

Question 2

Find the volume of the solid shown in the figure and answer in terms of pi.

Accepted Answer

360pi

Answer

480pi

Answer

1440pi

Answer

120pi

Question 3

Find the volume of the Cylinder

Accepted Answer

1130

Answer

7230

Answer

6621

Answer

907

Question 4

Find the Volume of the Sphere

Accepted Answer

904.32 ft³

Answer

7,234.56 ft³

Answer

150.72 ft³

Question 5

Find the volume to the nearest hundredth using 3.14 instead of Pi.

Accepted Answer

12.56 ft3

Answer

37.68 ft3

Answer

18.84 ft3

Answer

6.28 ft3

Question 6

Find the volume to the nearest hundredth using 3.14 instead of Pi.

Accepted Answer

12.56 ft3

Answer

37.68 ft3

Answer

18.84 ft3

Answer

6.28 ft3

Question 7

Which word best describes this image?

Accepted Answer

Cylinder

Answer

Cone

Answer

Sphere

Question 8

Which cylinder will have a larger volume?

Accepted Answer

Cylinder A

Answer

Cylinder B

Question 9

Is the red line a radius or diameter of the circle?

Accepted Answer

Radius

Answer

Diameter

Question 10

Which of the following correctly identifies the dimensions of this cone.

Accepted Answer

$r\ =\ 2\ ,\ h\ =8$

Answer

$r\ =\ 2\ ,\ h\ =8$

Answer

$r\ =\ 2\ ,\ h\ =8$

Answer

$r\ =\ 2\ ,\ h\ =8$

Question 11

Question 11.

Accepted Answer

8.4 ft3

Answer

100.5 ft3

Answer

25 ft3

Answer

16.8 ft3

Question 12

The formula for the Volume of ...

Accepted Answer

Spheres

Answer

Cones

Answer

Cylinders

Question 13

Is the red line a radius or diameter of the circle?

Accepted Answer

Diameter

Answer

Radius

Question 14

Find the volume of the given sphere.

Accepted Answer

4,188.8 cubic ft

Answer

418.7 cubic ft

Answer

3,984.6 cubic ft

Answer

4,319.8 cubic ft

Question 15

Find the volume of the Sphere

Accepted Answer

523.6 m3

Answer

78.5 m3

Answer

392.5 m3

Answer

62.8 cm3

Question 16

Find the Volume if the height is 10 cm and radius 3 cm?

Accepted Answer

283

Answer

250

Answer

200

Answer

180

Question 17

Question 17.

Accepted Answer

400

Answer

1200

Answer

3600

Answer

324

Question 18

A ________ is wide at one end and comes to a narrow point at the other.

Accepted Answer

Cone

Answer

Sphere

Answer

Cylinder

Question 19

Select all that apply.

In order to solve for the radius in a formula with $$r^2$$ , use the ____________ button on the calculator.

Accepted Answer

square root

Accepted Answer

Option D is correct

Answer

cubic root

Answer

tree root

Question 20

If a has cylinder a radius of 4 yd and a volume of 80 $$yd^3$$ , solve for the height to the nearest tenth. Use $$\pi\approx3.14.$$

Accepted Answer

1.6 yds.

Answer

4,019.2 yds.

Answer

6.4 yds.

Answer

1.65yds.

Question 21

The volume of a cylinder is $$226.08\ ft^3$$ and the radius is $$6\ ft.$$ What is the height? Use

Accepted Answer

$$h=2\ ft$$

Answer

$$h\ =9\ ft$$

Answer

$$h=36\ ft$$

Answer

$$h\ =\ 12\ ft$$

Question 22

The volume of a cone is $$1,436.03\ ft^3.\ \ $$ It's radius is $$7\ ft.$$ Solve for the height. Use $$196\pi\ ft^{3\ }.$$

Accepted Answer

$$h=28\ ft$$

Answer

$$h=12\ ft$$

Answer

$$h\approx3.5\ ft$$

Answer

$$h\ =\ 14\ ft$$

Question 23

Find the radius of a sphere with a volume of $$3,053.63\ in^3.$$ Use

Accepted Answer

$$9\ in.$$

Answer

$$6.2\ in.$$

Answer

$$31.2\ in.$$

Answer

$$18\ in.$$

Question 24

The volume of a cylinder is $$15,919.8\ cm^3.$$ If the height is $$30\ cm$$ , what is the radius? Use

Accepted Answer

$$r=13\ cm$$

Answer

$$r=15.6\ cm$$

Answer

$$r=84.5\ cm$$

Answer

$$r=169\ cm^2$$

Question 25

The volume of a cone is $$2,307.9\ mm^3$$ and the height is $$5\ mm$$ . What is the radius? Use

Accepted Answer

$$r=21\ mm$$

Answer

$$r=147\ mm$$

Answer

$$r=47\ mm$$

Answer

$$r=\ 441\ mm$$

Question 26

The volume of a cylinder is $$5070\pi\ cm^3.$$ If the height is $$30\ cm$$ , what is the radius?

Accepted Answer

$$r=13\ cm$$

Answer

$$r=15.6\ cm$$

Answer

$$r=84.5\ cm$$

Answer

$$r=169\ cm^2$$

Question 27

Find the length of the diagonal

Accepted Answer

31.2

Answer

32.1

Answer

976

Answer

7.2

Question 28

Given the following figure find the measure of d.

Accepted Answer

17

Answer

23.7

Answer

5.3

Answer

29

Question 29

A swimming pool has the dimensions shown. Use x to represent the length of the diagonal that goes from the bottom corner to the top corner at the opposite end of the pool, as shown by the diagonal dotted line. What is the value of x?

Accepted Answer

33.3

Answer

31.3

Answer

32.3

Answer

64

Question 30

Which formula can help you find the length of a diagonal of a cuboid?

Accepted Answer

$$c=\sqrt[]{x^2+y^2+z^2}$$

Answer

$$A=\pi r^2$$

Answer

$$SA=2lw+2lh+2wh$$

Answer

$$a\ +b+c^2\ =\ x^2$$

Question 31

What is the length of the pencil in the cylinder if the height is 12 inches and the diameter of the base is 10 inches?

Accepted Answer

15.6 in.

Answer

6.6 in.

Answer

44 in.

Answer

16 in.

Question 32

Determine the height of the cylinder. Round to the nearest tenths place.

Accepted Answer

11.5

Answer

7.4

Answer

14.3

Answer

11.0

Answer

14.6

Question 33

Find the volume of the solid shown.

Accepted Answer

$$153\pi\ m^3$$

Answer

$$171\pi\ m^3$$

Answer

$$63\pi\ m^2$$

Answer

$$144\pi\ m^3$$

Question 34

Find the volume.

Accepted Answer

179.1

Answer

151.2

Answer

163.7

Answer

186.3

Question 35

Find the volume of the composite solid.
Use 3.14 for pi.

Accepted Answer

188.4 m3

Answer

753.6 m3

Question 36

Find the volume of the following shape.

(What two solids are being added together??)

Accepted Answer

804.24 m3

Answer

4155.27 m³

Answer

1038.82 m³

Answer

1005.31 m³

Question 37

Find the volume. This solid is a cylinder with a cylinder cut out of the middle.

Accepted Answer

$$V=527.52\ cm^3$$

Answer

$$V=998.52\ cm^3$$

Answer

$$V=25.91\ cm^3$$

Answer

$$V=143.65\ cm^3$$

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