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Mathematics

If the radius of a hemisphere is 5 cm, then its volume is

  1. 2503π\dfrac{250}{3}π cm3

  2. 5003π\dfrac{500}{3}π cm3

  3. 75π cm3

  4. 1253π\dfrac{125}{3}π cm3

Mensuration

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Answer

Volume of hemisphere (V) = 23πr3\dfrac{2}{3}πr^3

Putting values we get,

V=23×π×(5)3=23π×125=250π3 cm3.V = \dfrac{2}{3} \times π \times (5)^3 \\[1em] = \dfrac{2}{3}π \times 125 \\[1em] = \dfrac{250π}{3} \text{ cm}^3.

Hence, Option 1 is the correct option.

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