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(C) The top consists of a cone and a hemisphere joined at their bases. The radius of both the cone and the hemisphere is $r = 2.8 \, cm$. The height o

Vedclass · Accepted Answer

$98.56$

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(C) The top consists of a cone and a hemisphere joined at their bases. The radius of both the cone and the hemisphere is $r = 2.8 \, cm$. The height of the cone is $h = 6.4 \, cm$.Volume of the cone $V_{cone} = \frac{1}{3} \pi r^2 h = \frac{1}{3} 	imes \frac{22}{7} 	imes (2.8)^2 	imes 6.4 = \frac{1}{3} 	imes \frac{22}{7} 	imes 7.84 	imes 6.4 \approx 52.53 \, cm^3$.Volume of the hemisphere $V_{hemi} = \frac{2}{3} \pi r^3 = \frac{2}{3} 	imes \frac{22}{7} 	imes (2.8)^3 = \frac{2}{3} 	imes \frac{22}{7} 	imes 21.952 \approx 46.03 \, cm^3$.Total volume $V = V_{cone} + V_{hemi} = 52.53 + 46.03 = 98.56 \, cm^3$.

$A$ top is made by joining a hemisphere to the base of a cone. The radius and the height of the conical part are $2.8 \, cm$ and $6.4 \, cm$ respectively. Find the volume of the top in $cm^3$.

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