Problem 15 A spherical shell 2 in. thick has an outer diameter of 12 in. Find the volume of the material of which it is made.
Solution 15
$r = R - 2 = 4 ~ \text{in.}$
$V = \frac{4}{3}\pi (R^3 - r^3)$
$V = \frac{4}{3}\pi (6^3 - 4^3)$
$V = \frac{608}{3}\pi ~ \text{in.}^3$
$V = 636.70 ~ \text{in.}^3$ answer
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