Question

if the volume of the sphere is 36
$\pi$
cm cube then its radius is equal to​

Answer 1

Answer:

Volume of sphere =

$\frac{4}{3} \pi {r}^{3}$

$volume = 36\pi$

Therefore :-

$36\pi = \frac{4}{3} \pi {r}^{3}$

${r}^{3} = \frac{36\pi \times 3}{4\pi}$

${r}^{3} = 9 \times 3$

${r}^{3} = 27$

$r = 3$

Answer 2

Answer:

Radius is 3cm

Step-by-step explanation:

Given that

$volume \: of \: sphere = 36 \pi$

To find

Radiua of sphere

Solution

let

r is radius of sphere

d is diameter of sphere.

v as volume of sphere

then

As we know that

$volume \: of \: sphere = \frac{4}{3} \times \pi \times {r}^{3}$

put the given value of volume

$36 \pi = \frac{4}{3} \pi \times {r}^{3}$

$\pi \: will \: get \: cancle \: from \: both \: side \: hence$

${r}^{3} = 27$

cube root of 27 is 3 hence

$r = 3cm$

Radius is 3cm.