मराठी

Volume and Surface Area of a Solid Hemisphere Are Numerically Equal. What is the Diameter of Hemisphere? - Mathematics

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प्रश्न

Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of hemisphere?

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उत्तर

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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