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This printable supports Common Core Mathematics Standard HSG-GMD.A.3

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Volume of Spheres (Grades 11-12)

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Volume of Spheres

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

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

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]

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

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

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

.6 "
1.3 "
.8 "
.5 "

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]