The volume of a right circular cone is 9856 , | vedclass

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(C) Given,volume of the cone $(V) = 9856 \, cm^3$.Diameter of the base $= 28 \, cm$.Radius of the base $(r) = \frac{28}{2} \, cm = 14 \, cm$.Let the h

Vedclass · Accepted Answer

$48$

Vedclass · Answer

(C) Given,volume of the cone $(V) = 9856 \, cm^3$.Diameter of the base $= 28 \, cm$.Radius of the base $(r) = \frac{28}{2} \, cm = 14 \, cm$.Let the height of the cone be $h \, cm$.The formula for the volume of a cone is $V = \frac{1}{3} \pi r^2 h$.Substituting the values: $9856 = \frac{1}{3} 	imes \frac{22}{7} 	imes (14)^2 	imes h$.$9856 = \frac{1}{3} 	imes \frac{22}{7} 	imes 14 	imes 14 	imes h$.$9856 = \frac{1}{3} 	imes 22 	imes 2 	imes 14 	imes h$.$9856 = \frac{616}{3} 	imes h$.$h = \frac{9856 	imes 3}{616}$.$h = 16 	imes 3 = 48 \, cm$.Thus,the height of the cone is $48 \, cm$.

The volume of a right circular cone is $9856 \, cm^3$. If the diameter of the base is $28 \, cm$,find the height of the cone. (in $, cm$)

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