Question

If the base radius of a cone and a cylinder are equal and their curved surface areas are also equal, then ratio of the slant height of cone to that of the height of cylinder is :

Accepted Answer

A. CSA of cone = $\pi r l$. CSA of cylinder = $2\pi r h$. Given $\pi r l = 2\pi r h \implies l = 2h \implies \frac{l}{h} = \frac{2}{1} = 2 : 1$.

Ratio of slant height of cone to height of cylinder

Explanation

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