Find the capacity in litres of a conical vess | vedclass

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(B) Given: radius $r = 7 \, cm$ and slant height $l = 25 \, cm$.First,we find the vertical height $h$ using the relation $l^2 = r^2 + h^2$:$h = \sqrt{

Vedclass · Accepted Answer

$1.232$

Vedclass · Answer

(B) Given: radius $r = 7 \, cm$ and slant height $l = 25 \, cm$.First,we find the vertical height $h$ using the relation $l^2 = r^2 + h^2$:$h = \sqrt{l^2 - r^2} = \sqrt{25^2 - 7^2} = \sqrt{625 - 49} = \sqrt{576} = 24 \, cm$.The volume $V$ of a conical vessel is given by the formula $V = \frac{1}{3} \pi r^2 h$.Substituting the values:$V = \frac{1}{3} 	imes \frac{22}{7} 	imes (7)^2 	imes 24 \, cm^3$$V = \frac{1}{3} 	imes \frac{22}{7} 	imes 49 	imes 24 \, cm^3$$V = 22 	imes 7 	imes 8 \, cm^3 = 1232 \, cm^3$.Since $1000 \, cm^3 = 1 \, l$,the capacity in litres is:$V = \frac{1232}{1000} \, l = 1.232 \, l$.Thus,the required capacity of the conical vessel is $1.232 \, l$.

Find the capacity in litres of a conical vessel with radius $7 \, cm$ and slant height $25 \, cm$. (in $, l$)

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