##### Notes

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

1.
If a spherical water tank can hold 33,510 $ft^3$ of water, what is the diameter of the tank?
1. 20 ft
2. 40 ft
3. 243 ft
4. 238 ft
2.
A semi-spherical soccer stadium can hold 11,033,324 $ft^3$ of air. How high is the center of the roof above the field?
1. 174 ft
2. 87 ft
3. 215 ft
4. 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?
1. 33.5 $cm^3$
2. 4.2 $cm^3$
3. 268.1 $cm^3$
4. 29.3 $cm^3$
4.
A drop contains 6 $cm^3$ of water. What is the diameter of the drop?
1. 3.28 cm
2. 0.11 cm
3. 1.1 cm
4. 2.3 cm
5.
A cylindrical cup with a radius of $1 1/2$ inches is filled with water to a depth of $2$ inches. If 30 steel balls which each have a diameter of $3/4$ inch are placed in the cup, how much will the water rise?
1. $15/16$ in
2. $3/4$ in
3. $16/15$ in
4. $3/2$ in
6.
A soap bubble contains 2.5 cubic inches of air. What is its radius?
1. .6 "
2. 1.3 "
3. .8 "
4. .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 $"cm"^3$
1. 1.5 cm
2. 3.2 cm
3. 2.7 cm
4. 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. 1 cm
2. .5 cm
3. .8 cm
4. .6 cm
9.
If a semi-spherical sink can hold 8 liters, how deep is it?
1. 13.8 cm
2. 15.6 cm
3. 8.6 cm
4. 6.2 cm
10.
A standard softball has a circumference of 12 inches. What is the volume of a softball?
1. 8 cubic inches
2. 33 cubic inches
3. 26 cubic inches
4. 29 cubic inches
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