Question

The lateral surface area of a cylinder is equal to the curved surface area of a cone. If the
radius be the same ,find the ratio of the height of the cylinder and slant height of the
cone.?

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Lateral surface area of cylinder= curved surface area of cone

Cylinder:

Radius=r

Height=h

Lateral surface area= 2πrh

Cone:

Radius=r

Slant height=l

Curved surface area=πrl

It radius is same

2πrh=πrl

=h/l=πr/2πr=1/2

h:l=1:2

Therefore, the ratio of height of cylinder and slant height of cone is 1:2