A right circular cone & a right circular cylinder have equal base & equal height. If the radius of the base & the height are in the ratio 8:15, then ratio of total surface area of the cylinder to that of the cone is

Let radius of cylinder & cone be 8x and height of cylinder & cone be 15x. So, slant height = √ (8x ^{2 } + 15x ^{2 }) = 17x So, required ratio = 2 πR (H + R)/ π r (L + R) = 2(H + R)/(L+ R) = 2(8x + 15x)/(8x + 17x) = 46/25

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