Latest SSC Aptitude Question SOLUTION: 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, the ratio of their radius and height is

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(#M40025885) SSC Numerical Ability question SSC-CGL quant Keep an EYE

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,
the ratio of their radius and height is

Asked In SSC Rats (10 years ago)

Unsolved Read Solution (1)

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Read Solution (1) :

navya  (7 years ago)

Let R be the radius, h be height.

CSA of cone = π(Radius)(Slant Height) = πR((R2+h2))

CSA of cylinder = 2π(Radius)(Height) = 2πRh

CSA of cone/CSA of cylinder = 5/8 = [πR((R2+h2))]/(2πRh)

((R2+h2))/(2h) = 5/8

Squaring on both sides,

(R2+h2)/(4h2) = 25/64

(R2+h2)/h2 = 100/64

R2/h2 + 1 = 100/64

R2/h2 = 100/64 - 1

R2/h2 = 36/64

R/h = 6/8 = 3/4
ans 3 : 4

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