Question

the surface area of sphere is 576 pi. find the volume

Answer 1

I think this will help you

Answer 2

Heya

Surface area of sphere having radius r is

= 4πr²

And it's volume is = 4/3 ( π × r³ )unit³

ACCORDING TO THE QUESTION.

4πr² = 576πunit²

=>

r = √(144)

=>

r = 12unit OR r = -12unit ( rejected )

So, radius of sphere having area 576πunit² is 12unit.

So, it's volume is

4/3 ( π × (12)³ )

= 7234.56unit³ OR 2304πunit³