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Question

(A) The total volume of the ice cream is the sum of the volume of the hemisphere and the volume of the cone.Given,radius of the hemisphere $r = 7 \, c

Vedclass · Accepted Answer

$1078$

Vedclass · Answer

(A) The total volume of the ice cream is the sum of the volume of the hemisphere and the volume of the cone.Given,radius of the hemisphere $r = 7 \, cm$.Since the radius of the hemispherical part equals the height of the cone,the height of the cone $h = 7 \, cm$.Volume of hemisphere $= \frac{2}{3} \pi r^3 = \frac{2}{3} 	imes \frac{22}{7} 	imes 7^3 = \frac{2}{3} 	imes 22 	imes 49 = \frac{2156}{3} \, cm^3$.Volume of cone $= \frac{1}{3} \pi r^2 h = \frac{1}{3} 	imes \frac{22}{7} 	imes 7^2 	imes 7 = \frac{1}{3} 	imes 22 	imes 49 = \frac{1078}{3} \, cm^3$.Total volume $= \frac{2156}{3} + \frac{1078}{3} = \frac{3234}{3} = 1078 \, cm^3$.

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