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Missing Dimension - Cones, Cylinders, and Spheres

Total questions: 10

Worksheet time: 50mins

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 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

3.

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


Radius: ?

Height: 21cm

Volume: 263.76cm3

a)

4cm

b)

2cm

c)

8cm

d)

42cm

4.

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

5.

The volume of a cone is  1,436.03 ft3.  1,436.03\ ft^3.\ \   It's radius is  7 ft.7\ ft.  Solve for the height. Use  \pi\approx3.14. 

a)

 h=12 fth=12\ ft  

b)

 h=28 fth=28\ ft  

c)

 h≈3.5 fth\approx3.5\ ft  

d)

 h = 14 fth\ =\ 14\ ft  

6.

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  \pi\approx3.14. 

a)

 r=147 mmr=147\ mm  

b)

 r=47 mmr=47\ mm  

c)

 r= 441 mmr=\ 441\ mm  

d)

 r=21 mmr=21\ mm  

7.

What is the height of the cone?

a)

10

b)

360

c)

15

d)

31.6

8.

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

9.

The volume of a sphere is  113.04 ft3113.04\ ft^3 .  Solve for the radius. Use  \pi\approx3.14. 

a)

 r=9 ftr=9\ ft  

b)

 r=3 ftr=3\ ft  

c)

 r=5.2 ftr=5.2\ ft  

d)

 r=12 ftr=12\ ft  

10.

Find the radius of a sphere with a volume of  3,053.63 in3.3,053.63\ in^3.  Use  \pi\approx3.14. 

a)

 9 in.9\ in.  

b)

 6.2 in.6.2\ in.  


c)

 31.2 in.31.2\ in.  

d)

 18 in.18\ in.