# Volume of Spheres (Grades 11-12)

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## Volume of Spheres

1.

If a spherical water tank can hold 33,510 [math]ft^3[/math] of water, what is the diameter of the tank?

- 20 ft
- 40 ft
- 243 ft
- 238 ft

2.

A semi-spherical soccer stadium can hold 11,033,324 [math]ft^3[/math] of air. How high is the center of the roof above the field?

- 174 ft
- 87 ft
- 215 ft
- 169 ft

3.

A hollow rubber ball has a diameter of 4 cm and a wall thickness of 1 cm. What volume of rubber is in the ball?

- 33.5 [math] cm^3[/math]
- 4.2 [math] cm^3[/math]
- 268.1 [math] cm^3[/math]
- 29.3 [math] cm^3[/math]

4.

A drop contains 6 [math]cm^3[/math] of water. What is the diameter of the drop?

- 3.28 cm
- 0.11 cm
- 1.1 cm
- 2.3 cm

5.

A cylindrical cup with a radius of [math]1 1/2[/math] inches is filled with water to a depth of [math]2[/math] inches. If 30 steel balls which each have a diameter of [math]3/4[/math] inch are placed in the cup, how much will the water rise?

- [math]15/16[/math] in
- [math]3/4[/math] in
- [math]16/15[/math] in
- [math]3/2[/math] in

6.

A soap bubble contains 2.5 cubic inches of air. What is its radius?

- .6 "
- 1.3 "
- .8 "
- .5 "

7.

A candy factory produces 20,000 gum balls per week and uses 282.7 liters of candy mixture. What is the diameter of the gumballs?

Hint: 1 Liter = 1000 [math]"cm"^3[/math]

Hint: 1 Liter = 1000 [math]"cm"^3[/math]

- 1.5 cm
- 3.2 cm
- 2.7 cm
- 3 cm

8.

A paintball is shot at a wall and it makes a circular splat which is 3.65 cm across and .5 mm thick. What was the diameter of the paintball?

- 1 cm
- .5 cm
- .8 cm
- .6 cm

9.

If a semi-spherical sink can hold 8 liters, how deep is it?

- 13.8 cm
- 15.6 cm
- 8.6 cm
- 6.2 cm

10.

A standard softball has a circumference of 12 inches. What is the volume of a softball?

- 8 cubic inches
- 33 cubic inches
- 26 cubic inches
- 29 cubic inches

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