Sainik School Entrance Exam 2021 Solved Paper

Question : 27 of 150

Marks: +1, -0

The total surface area of the hemisphere of volume 19404 cu. cm is

Solution:

(a) Volume of hemisphere

={2}/{3} πr^3

⇒19404={2}/{3} π r^3

⇒19404={2}/{3} ×{22}/{7} ×r^3

⇒ r^3={19404 ×3 ×7}/{2 × 22}

⇒ r^3=441 × 3 ×7

∴

r=21 {\cm} .

Total surface area of hemisphere

=3 πr^2=3 ×{22}/{7} ×21 ×21=4158 { \sq. } {\cm} {. }

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