CBSE Class 9 Answered
a cylinder and a cone have equal radii of their bases and equal heights. if their curved surface ar
Asked by nmenghani | 12 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
Regards,
Team,
TopperLearning.
Answered by | 12 Jan, 2010, 09:03: PM
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