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Question

If the circumference of base of a hemisphere is 2π. Then what will be its volume


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Solution

Step 1: Find the radius of given hemisphere

Given that the circumference of the base is 2π

Let r be the radius of the hemisphere

Circumference=2πr2π=2πrr=1unit

Therefore the radius of the hemisphere is 1unit

Step 2: Find the Volume

We know that the volume of a hemisphere with radius r is 23πr3

Volume=23·π·r3Volume=23·π·13Volume=23·π

Therefore the volume is 23πunit3

Hence, volume of the hemisphere is 23πunit3


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