a cylinder and a cone have equal radii of their bases and equal heights. if their curved surface ar

Asked by nmenghani | 12th Jan, 2010, 08:37: PM

Expert Answer:

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

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Answered by  | 12th Jan, 2010, 09:03: PM

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