Question

Find the volume of a sphere whose surface area is 5544 cm² ​

Answer 1

Let r cm be the radius of the sphere. Its surface area =55.44cm
2

⇒ 4πr
2
=55.44
⇒ 4×
7
22
​
×r
2
=55.44
⇒ r
2
=
4×22
55.44×7
​
=4.41=(2.1)
2

⇒ r=2.1cm
now, volume of the sphere=
3
4
​
πr
3
=
3
1
​
(4πr
2
)×r=
3
1
​
×55.44×2.1cm
3

=55.55×0.7cm
3

Hence the volume of the sphere =38.808cm
3