Question

A sphere and a cone are of same radii and height, if the volume of sphere is so cm3, then the curved surface area of cone is 21​

Answer 1

Answer:

Since the radius and the height are same, so let it be r cm.

Thus, the height of the cylinder and the cone is r cm.

Curved surface area of the sphere =4πr

2

Curved surface area of the cylinder =2πrh=2πr×r=2πr

2

Curved surface area of the cone =πrl=πr×

r

2

+r

2

=

2

πr

2

∴ the ratio of their curved surfaces =4πr

2

:2πr

2

:

2

πr

2

=4:2:

2