Find the capacity of a hemispherical vessel, if circumference of its top is 308 cm.

Asked by Topperlearning User | 24th Oct, 2017, 01:12: PM

Expert Answer:

Circumference of the top of a hemispherical vessel = 308 cm

 

begin mathsize 12px style 2 πr space equals space 308 space cm
straight r space equals space fraction numerator 308 cross times 7 over denominator 2 cross times 22 end fraction
straight r space equals space 49 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 49 cubed
straight V space equals space 246502.667 space cm to the power of 3 space end exponent left parenthesis approx. right parenthesis end style

Answered by  | 24th Oct, 2017, 03:12: PM