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?
  1. 20 ft
  2. 40 ft
  3. 243 ft
  4. 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?
  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 [math] cm^3[/math]
  2. 4.2 [math] cm^3[/math]
  3. 268.1 [math] cm^3[/math]
  4. 29.3 [math] cm^3[/math]
4. 
A drop contains 6 [math]cm^3[/math] 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 [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?
  1. [math]15/16[/math] in
  2. [math]3/4[/math] in
  3. [math]16/15[/math] in
  4. [math]3/2[/math] 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 [math]cm^3[/math]
  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 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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