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Mathematics

A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water it would contain ?

Mensuration

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Answer

Volume of hemisphere = 23πr3\dfrac{2}{3}πr^3.

Putting values we get,

Volume of hemisphere=23πr3=23π(3.5)3=23×227×42.875=2×22×42.8753×7=1886.521=18865210=5396=8956 cm3\text{Volume of hemisphere} = \dfrac{2}{3}πr^3 \\[1em] = \dfrac{2}{3}π(3.5)^3 \\[1em] = \dfrac{2}{3} \times \dfrac{22}{7} \times 42.875 \\[1em] = \dfrac{2 \times 22 \times 42.875}{3 \times 7} \\[1em] = \dfrac{1886.5}{21} \\[1em] = \dfrac{18865}{210} \\[1em] = \dfrac{539}{6} \\[1em] = 89\dfrac{5}{6} \text{ cm}^3

Hence, the volume of water in the hemispherical bowl = 8956 cm389\dfrac{5}{6} \text{ cm}^3.

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