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Worksheets

Finding Missing Dimensions of Cylinders and Cones

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Find the height of a cylinder with a volume of 30in3 and a radius of 1 in. Use 3.14 for Pi.


Height: ?

Radius: 1 inch

Volume: 30in3

a)

30 inches

b)

3.14 inches

c)

9.55 inches

d)

94.2 inches

2.

Find the height of a cylinder with a volume of 791.28cm3 and a radius of 6cm.


Height: ?

Radius: 6cm

Volume: 791.28

a)

7cm

b)

14cm

c)

21.98cm

d)

18.84cm

3.

Find the radius of a cylinder with a volume of 686 mm3 and a height of 14 mm. Use 3.14 for Pi. Round your answer to the nearest tenth (one decimal place).


Height: 14mm

Radius: ?

Volume: 686mm3

a)

196 mm

b)

3.9 mm

c)

28 mm

d)

15.6 mm

4.

Find the radius of a cylinder with a volume of 263.76 cm3 and a height of 21 cm.

a)

4cm

b)

2cm

c)

8cm

d)

42cm

5.

The volume of a cone is   2,307.9 mm32,307.9\ mm^3  and the height is  5 mm5\ mm .  What is the radius? Use  5 mm5\ mm

a)

r=147 mmr=147\ mm  

b)

r=47 mmr=47\ mm  

c)

r= 441 mmr=\ 441\ mm  

d)

r=21 mmr=21\ mm  

6.

The volume of a cone is \katex> It's radius is \katex> Solve for the height. Use \katex>

a)

h=12 fth=12\ ft  

b)

h=28 fth=28\ ft  

c)

h3.5 fth\approx3.5\ ft  

d)

h = 14 fth\ =\ 14\ ft  

7.

Find the HEIGHT of the cone. Round your answer to the nearest whole number.


V = 628 mm3

r = 5 mm

a)

26 mm

b)

24 mm

c)

23 mm

d)

25 mm

8.

What is the height of the cone?

a)

10

b)

360

c)

15

d)

31.6

9.

The volume of a cylinder is 226.08 ft3226.08\ ft^3  and the radius is  6 ft.6\ ft.  What is the height? Use  6 ft.6\ ft.

a)

h =9 fth\ =9\ ft  

b)

h=36 fth=36\ ft  

c)

h=2 fth=2\ ft  

d)

h = 12 fth\ =\ 12\ ft  

10.

The volume of a cylinder is  15,919.8 cm3.15,919.8\ cm^3.  If the height is 30 cm30\ cm  , what is the radius? Use  15,919.8 cm3.15,919.8\ cm^3.

a)

r=15.6 cmr=15.6\ cm  

b)

r=84.5 cmr=84.5\ cm  

c)

r=169 cm2r=169\ cm^2  

d)

r=13 cmr=13\ cm  

11.

If a has cylinder a radius of 4 yd and a volume of 80 yd3yd^3 , solve for the height to the nearest tenth. Use  π3.14.\pi\approx3.14.  

a)

4,019.2 yds.

b)

6.4 yds.

c)

1.65yds.

d)

1.6 yds.

12.

Which is closest to the radius of a cylinder that has a volume of 1244.07 cubic inches and a height of 11 inches?

a)

5 in

b)

9 in

c)

6 in

d)

7 in

13.

Find the diameter of a cylinder that is 15 feet tall with a volume of 3817.04 cubic feet.

a)

18 ft

b)

16 ft

c)

9 ft

d)

8 ft

14.

Find the volume of the figure. Round to the nearest tenth. Use pi=3.14.

a)

128.6 units³

b)

1,286.1 units³

c)

401.9 units³

d)

5,144.6 units³

15.

What is the formula for Volume of a Cone?

a)

V=π r3h

b)

V=π r2h

c)

V=(1/3)π r2h

d)

V=(4/3)π r3

16.

A snack bar sells popcorn in cone-shaped containers. One container has a diameter of 8 inches and a height of 10 inches. How many cubic inches of popcorn does 3 containers hold? Round to the nearest tenth. (use pi=3.14)

a)

502.4 in3

b)

167.5 in3

c)

251.2 in3

d)

83.7 in3

17.

Find the volume of the cone. Round to the nearest integer. Use 3.14 for π.

a)

1,810 in³

b)

151 in³

c)

452 in³

d)

276 in

18.

Given a cone with the height of 10cm and the base radius of 9cm. Find the volume of this cone?

a)

33 cm3

b)

848 cm3

c)

332 cm3

d)

16 cm3

19.

Find the volume of the cone. Round to the nearest tenth. Use 3.14 for π.

a)

150.7 cm³

b)

75.4 cm³

c)

452.2 cm³

d)

178 cm³

20.

What is this formula used to find?
V=πr2h

a)

The volume of a cylinder

b)

The volume of a cone

c)

The volume of a sphere

d)

The area of a circle