Question

A sphere has a diameter of 4 x 10^-3 mm. What is the approximate volume of the sphere? Use 3.14 for pi.

Answer 1

`3.349 * {10}^( - 10) \: {mm}^(3)`

Explanation:

`d = 4 * {10}^( - 3) \: mm \\ r = 2 * {10}^( - 3) \: mm \\ V_(sphere) = (4)/(3) \pi {r}^(3) \\ = (4)/(3) * 3.14 * {(2 * {10}^( - 3) )}^(3) \\ = (4)/(3) * 3.14 * 8* {10}^( - 9) \\ = (100.48)/(3) * {10}^( - 9) \\ = 33.4933333* {10}^( - 9) \\ = 33.49 * {10}^( - 9) \\ = 3.349 * {10}^( - 10) \: {mm}^(3)`