The radius and slant height of a conical vess | vedclass

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Question

(B) Given: Radius $(r) = 7 \, cm$, Slant height $(l) = 25 \, cm$.First, find the vertical height $(h)$ using the relation $l^2 = r^2 + h^2$.$h^2 = l^2

Vedclass · Accepted Answer

$1.232$

Vedclass · Answer

(B) Given: Radius $(r) = 7 \, cm$, Slant height $(l) = 25 \, cm$.First, find the vertical height $(h)$ using the relation $l^2 = r^2 + h^2$.$h^2 = l^2 - r^2 = 25^2 - 7^2 = 625 - 49 = 576$.$h = \sqrt{576} = 24 \, cm$.The volume $(V)$ of the cone is given by $V = \frac{1}{3} \pi r^2 h$.$V = \frac{1}{3} 	imes \frac{22}{7} 	imes 7 	imes 7 	imes 24 = 22 	imes 7 	imes 8 = 1232 \, cm^3$.Since $1000 \, cm^3 = 1 \, litre$, the capacity is $\frac{1232}{1000} = 1.232 \, litres$.

The radius and slant height of a conical vessel are $7 \, cm$ and $25 \, cm$ respectively. What is its capacity in litres?

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