Question

If the volume of a sphere is 36 pi what is the surface area

Answer 1

Hey

Here is your answer,

In attachment

Hope it helps you!

Answer 2

Answer:

$surface \: area \: of \: sphere = 113.09 {unit}^{2}$

Step-by-step explanation:

Given that

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

To find

Surface area 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

$r = 3unit$

Radius is 3unit.

$as \: we \: know \: that$

$surface \: area \: of \: sphere = \frac{4}{3} \times \pi \times {r}^{2}$

$surface \: area \: of \: sphere = \frac{4}{3} \times \frac{22}{7} \times {3}^{2}$

as

$\pi = \frac{22}{7}$

hence

$surface \: area \: of \: sphere = 113.09 {unit}^{2}$