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

Asked by Topperlearning User | 24 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 | 24 Oct, 2017, 03:54: PM

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