The curved surface area of a circular cylinde | vedclass

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(A) The curved surface area of a cylinder is given by the formula $A_{cylinder} = 2 \pi r h$,where $r$ is the radius and $h$ is the height.The slant s

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$1:1$

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(A) The curved surface area of a cylinder is given by the formula $A_{cylinder} = 2 \pi r h$,where $r$ is the radius and $h$ is the height.The slant surface area (lateral surface area) of a cone is given by the formula $A_{cone} = \pi r l$,where $r$ is the radius and $l$ is the slant height.Given that the cone has a slant height $l = 2h$ and the same base radius $r$ as the cylinder,the area of the cone is:$A_{cone} = \pi 	imes r 	imes (2h) = 2 \pi r h$.Comparing the two areas:Ratio $= A_{cylinder} : A_{cone} = 2 \pi r h : 2 \pi r h = 1 : 1$.

The curved surface area of a circular cylinder of height $h$ and the slant surface area of a cone of slant height $2h$,having the same circular base,are in the ratio of:

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