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

Asked by Topperlearning User | 24th Oct, 2017, 01:09: PM

Expert Answer:

Let r = radius of the sphere.

Surface area of the sphere = 5544 cm2

 

begin mathsize 12px style 4 πr squared space equals space 5544
straight r squared space equals space fraction numerator 5544 cross times 7 over denominator 22 cross times 4 end fraction
straight r space equals space 21 space cm end style

Let V be its volume.

 

begin mathsize 12px style straight V space equals space 4 over 3 πr cubed
straight V space equals space 4 over 3 cross times 22 over 7 cross times 21 cubed
straight V space equals space 38808 space cm cubed end style

Answered by  | 24th Oct, 2017, 03:09: PM