Volume of Sphere

Most of you probably know that the basketball Basketball is a sphere. Sphere and Basketball However, how does one find its volume? The volume of a sphere can be determined using the Sphere Volume Formula,

V = 4/3r3. Here is how the formula was arrived at:

Suppose you take a cylinder with the same height and the same base area of a hemisphere. When you fill the hemisphere with water (fully) and put that water into the cylinder without dropping anything, it will fill the cylinder 2/3 up.

The volume of a cylinder is V = (¶*r2)*h, so then the volume of the hemisphere would be

V = 2/3*(¶*r2)*h.

V = 2/3*¶*r2*h

The height is also the radius in the hemisphere so the volume of a sphere (2 hemispheres) would be

V = 4/3*¶*r3

Great, let me try some problems myself!

1. Find the volume of a children's basketball with radius a radius of 12 units. About units3

2. A basketball has a diameter of about 9.5 inches. Ball in box If it is put into a cube-shaped box for shipping, what percentage of the box is filled by the basketball? About %

3. The volume of a sphere is 268 cubic meters. Find its diameter to the nearest meter. meters

4. The largest asteroid, Ceres, has a diameter of 620 miles. Assuming Ceres is sherical in shape, what is its volume? mi3

5. A shere has the surface area of 100¶. What is its volume? about cubic units

Stumped? Take a look at the answer key!

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