The height and the slant height of a cone are | vedclass

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(B) Given: Height $(h) = 21 \, cm$,Slant height $(l) = 28 \, cm$.Using the relation $l^2 = r^2 + h^2$,we find the radius $(r)$:$r = \sqrt{l^2 - h^2} =

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$7546$

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(B) Given: Height $(h) = 21 \, cm$,Slant height $(l) = 28 \, cm$.Using the relation $l^2 = r^2 + h^2$,we find the radius $(r)$:$r = \sqrt{l^2 - h^2} = \sqrt{28^2 - 21^2} = \sqrt{784 - 441} = \sqrt{343} = 7\sqrt{7} \, cm$.Now,the volume of the cone is given by $V = \frac{1}{3} \pi r^2 h$.$V = \frac{1}{3} 	imes \frac{22}{7} 	imes (7\sqrt{7})^2 	imes 21$.$V = \frac{1}{3} 	imes \frac{22}{7} 	imes 49 	imes 7 	imes 21$.$V = 22 	imes 49 	imes 7 = 7546 \, cm^3$.

The height and the slant height of a cone are $21 \, cm$ and $28 \, cm$ respectively. Find the volume of the cone. (in $, cm^3$)

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