Question

please give the answer​

Answer 1

Step-by-step explanation:

Given that:-

volume of sphere( V)=36πcm^3

radius of sphere=radius of cone= height of cone

radius(r)=?

A//q

Volume of sphere =4/3πr^3

$= > 36\pi = \frac{4}{3} \pi {r}^{3} \\ = > \frac{36 \times 3}{4}\pi =\pi {r}^{3} \\ = > 9 \times 3 \frac{\pi}{\pi} = {r}^{3} \\ = > 27 = {r}^{3} \\ = > \sqrt[3]{27} = r \\ = > r = 3$

now the radius of sphere =3cm

if radius of sphere=radius of cone=height of cone=3cm(given that)

volume of cone=1/3πr^2h

$v = \frac{1}{3} \times \pi \times ( {3})^{2} \times 3 \\ = \frac{1}{3} \times \frac{22}{7} \times 9 \times 3 \\ = \frac{22 \times 9}{7} \\ = \frac{198}{7} {cm}^{3}$