Question

Find the volume of each sphere. Be sure to include appropriate units.
(Show your work)

Answer 1

2145.5m^3

679.2yard

Explanation:

v

`volume \: of \: a \: sphere = (4)/(3)\pi \: r {}^(3) \\ when \: r = 8 \\ volume = (4)/(3) * (22)/(7) * 8 {}^(3) \\ volume = (4)/(3) * (22)/(7) * 8 * 8 * 8 \\ volume = (4 * 22 * 512)/(3 * 7) \\ volume = (45056)/(21) \\ volume = 2145.5m {}^(3) \\ \\ for \: the \: second \: shape \\ volume = (4)/(3) * (22)/(7) * 5.5 {}^(3) \\ = (4)/(3) * (22)/(7) * 166.373 \\ = (14641)/(21) \\ = 697.2yard`