Volume of a Sphere Worksheet
Calculate the volume of spheres given their radius or diameter, and solve real-world problems involving spherical objects. Aligned with Grade 10 Geometry standards.
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Volume of a Sphere
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Read each question carefully and calculate the volume of the spheres. Use π ≈ 3.14 and round your answers to two decimal places where necessary. Show all your work.
Recall the formula for the volume of a sphere: V = (4/3)πr³
1. Find the volume of a sphere with a radius of 6 cm.
2. Calculate the volume of a sphere with a radius of 4.5 meters.
3. A sphere has a diameter of 10 inches. What is its volume?
4. Find the volume of a spherical ball with a diameter of 22 cm.
5. Which of the following is the correct formula for the volume of a sphere?
V = πr²h
V = (1/3)πr²h
V = (4/3)πr³
V = 2πrh
6. If the radius of a sphere is doubled, its volume will be times larger.
7. The volume of a sphere with a radius of 3 units is cubic units.
8. A spherical water tank has a diameter of 14 feet. How many cubic feet of water can it hold when completely full?
9. The volume of a sphere is directly proportional to the cube of its radius.
True
False