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Question
Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of hemisphere?
Solution
Let the radius of the hemisphere be r units.
Volume of a hemisphere = Surface area of the hemisphere
`=> 2/3 pir^3 = 2pir^2`
`=> 2/3r = 2`
`=> r = 3`
⇒ d = 6 units
Hence, diameter of the hemisphere is equal to 6 units.
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