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A hollow sphere has an external diameter of 20 cm and a uniform wall thickness of 1 cm. Taking pi = 3.14, find the volume of the material forming the shell.

1. 1134.7 cm^3
2. 1256.6 cm^3
3. 1340.4 cm^3
4. 1046.7 cm^3

Correct answer: 1134.7 cm^3

Solution

Outer radius is 10 cm and inner radius 9 cm. Material volume = (4/3)pi(10^3 - 9^3) = (4/3)(3.14)(1000 - 729) = (4/3)(3.14)(271) approximately 1134.7 cm^3.

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