Question

the surface area of a sphere is 784 π CM square find its radius​

Answer 1

Answer:

csa=4×pi×r^2

784/4=pi×r^2

196=pi×r^2

196/22/7=r^2

62.42=r^2

7.9=r

Answer 2

Given:

The surface area of a sphere is 784π cm².

To find:

The radius.

Solution:

The radius of a sphere is 14 cm.

To answer this question, we will follow the following steps:

First of all, we should know that in a sphere of radius 'r', the surface area is given by using the formula:

$= 4 \: \pi \: {r}^{2}$

Now,

As given,

We have,

The surface area of a sphere = 784π cm²

So,

$784\pi = 4\pi {r}^{2}$

On solving the above, we get,

$784 = 4 {r}^{2}$

$196 = {r}^{2}$

On taking square root on both sides, we get,

$r = 14 \: cm$

Hence, the radius of a sphere having a surface area of 784π cm² is 14 cm.