Question

The curved surface area of a sphere is 5544 cm². Find its volume.

Answer 1

Let the radius of the sphere be r.

As,

curved surface area of the sphere = 5544 cm²

`=> 4pi"r"^2 =5544`

`=> 4xx22/7xx"r"^2 = 5544`

`=> r^2 = 5544 xx 7/(4xx22)`

`=> r^2 = 441`

`= r = sqrt(441)`

= r = 21 cm

Now

Volume of the sphere `= 4/3 pi"r"^3`

`= 4/3 xx 22/7 xx 21 xx 21xx21`

= 38808 cm³ 

So, the volume of the sphere is 38808 cm³.