Question

Find the base circumference of a cone with height 10 cm and volume 90π cm3 .

The base circumference of the cone is _____.

Answer 1

i think it's 18.22 cm

Answer 2

Answer is circumference =32.64

Explanation:

`given \\ volume \: of \: cone \: = 90\pi \: {cm}^(3) \\ and \: height = 10 \: cm \: \\ to \: find: circumference \\ by \: the \: given \: data \\ volume \: of \: cone = 90\pi \\ (1)/(3) \pi {r}^(2) h = 90\pi \\ cancelling \: \pi \: which \: is \: common \: \\ we \: get \\ (1)/(3 ) {r}^(2) h = 90 \\ we \: know \: that \: h = 10 \\ on \: substituting \: we \: get \\ (1)/(3) {r}^(2) * 10 = 90 \\ dividing \: by \: 10 \: on \: both \: sides \: we \: get \\ (1)/(3) {r}^(2) = 9 \\ {r }^(2) = 27 \\ r = 3 √(3) \\ we \: know \: that \: circumference \: = 2\pi \: r \\ = 2 * (22)/(7) * 3 √(3) \\ on \: solving \: the \: above \: mentioned \: we \: get \\ \\ \: = 32.64`

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.