(Q12).The lateral surface area of a cylinder is equal to the curved surface area of a cone. If their base be the same, find the ratio of the height of the cylinder to slant height of the cone.

Base of cylinder and cone be the same.

CSA / LSA of cylinder = 2πrh

CSA of cone = πrl

The lateral surface area of a cylinder is equal to the curved surface area of cone.

∴ 2πrh = πrl

⇒
=
⇒
=

∴ : = :