Question

Find the volume of sphere whose surface area is 616cm2

Answer 1

Surface area of Sphere = 4πr²
4πr²=616
πr²=616/4
πr²=154
r²=154×7/22
r²=7×7
r=7
Volume of sphere = 4/3πr³
=4/3×22/7×7×7×7
=4312/3
=1437.33 cm³

Answer 2

Given:

The surface area of a sphere is 616cm2.

To find:

The volume of a sphere.

Solution:

The volume of a sphere is 1437.33 cm3.

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

As given in the question, we have,

The surface area of a sphere

$= 616 {cm}^{2}$

Also,

we know that the surface area of a sphere

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

So,

$4\pi {r}^{2} = 616$

$4 \times \frac{22}{7} \times {r}^{2} = 616$

${r}^{2} = \frac{616 \times 7}{22 \times 4}$

${r}^{2} = 49$

$r = 7cm$

Now,

The volume of a sphere

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

$= \frac{4}{3} \times \frac{22}{7} \times {(7)}^{3}$

$= 1437.33 \: {cm}^{3}$

Hence, the volume of a sphere is 1437.33 cubic centimetres.