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Question

If the volume of a hemisphere is four times its total surface area, then find its radius
(in cm)?
  1. 18

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Solution

The correct option is A 18

We know that,
Volume of a hemisphere of radius r cm
=23πr3

TSA of a hemisphere of the same radius
= 3πr2

Given that,
Volume of hemisphere=TSA of hemisphere
23πr3=4×3πr2

13πr=6π

13r=6

r=18 cm


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