Find the volume of a hemispherical vessel whose total surface area is 462 cm2.

Asked by Topperlearning User | 24th Oct, 2017, 01:54: PM

Expert Answer:

Let r = radius of the hemispherical vessel.

Total surface area of the bowl = 462 cm2

 

begin mathsize 12px style 3 πr squared space equals space 462
straight r squared space equals space fraction numerator 462 cross times 7 over denominator 3 cross times 22 end fraction
straight r space equals space 7 space cm end style

Let V be its volume.

 

begin mathsize 12px style straight V space equals space 2 over 3 πr cubed
straight V space equals space 2 over 3 cross times 22 over 7 cross times 7 cubed
straight V space equals space 718.67 space cm cubed space left parenthesis approx. right parenthesis end style

Answered by  | 24th Oct, 2017, 03:54: PM