Question

the volume of the sphere is 36 πm^3:find its diameter​

Answer 1

Answer:

$the \: volume \: of \: the \: given \: sphere \: is \: 36\pi {cm}^{2} \\ the \: volume \: of \: every \: sphere \: is \: v = 4\pi \frac{r {}^{3} }{3} \\ so \: we \: can \: equate \: the \: two \: volumes \\ 4\pi. \frac{ {r}^{3} }{3} = 36\pi \: {cm}^{3} \\ multiply \: both \: sides \: by \: 3 \\ and \: divide \: both \: by \: 4\pi \\ {r}^{3} = 27 {cm}^{3} \\ r = 3cm.$