# A cylinder and a cone have equal radii of their bases and equal heights. If their curved surface areas are in the ratio 8:5, show that the radius and height of each has the ratio 3:4.

Given,

Curved surface area of cylinder = curved surface area of cone = 8:5

Let C.S.A of cylinder = 8x

C.S.A of cone = 5x

As mention above cone and cylinder have equal radius and equal height

100h2 = 64h2 + 64r2

100h2 – 64h2 = 64r2

36h2 = 64r2

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