Question

volume of a cone is 1212 CM cubic cm and its height is 24 cm find the surface area of the cone.

Answer 1

Here's ur answer.I hope this is the answer.
Hope it'll be helpful.

Answer 2

$volume \: of \: cone = \frac{1}{3}\pi {r}^{2} h$
and we know that,
$\pi = \frac{22}{7}$
and
$volume \: of \: cube = 1212 {cm}^{3}$
and height is 24 cm.
So, Comparing both gives,
$\frac{1}{3} \pi {r}^{2} h = 1212 \\ \pi {r}^{2} h = 3 \times 1212 \\ \frac{22}{7} {r}^{2} 24 = 3636 \\ \frac{22}{7} {r}^{2} = 3636 \div 24 \\ \frac{22}{7} {r}^{2} = 151.5 \\ {r}^{2} = \frac{151.5 \times 7}{22}$
${r}^{2} = 48.204$
$r = \sqrt{48.204}$
$r = 6.942$