Question

The radius of a cone is 5 cm and vertical height is 12 cm. Find the area of the curved surface.

Answer 1

The formula of the curved surface area of a cone with base radius ‘r’ and slant height ‘l’ is given as

Curved Surface Area =

But, here we’re given only that the base radius r = 5 cm and vertical height h = 12 cm.

To find the slant height ‘l’ to be used in the formula for Curved Surface Area we use the following relation

Slant height, l=

=

=

=

l = 13 cm

Now, substituting the values of r = 5 cm and slant height l = 13 cm and using in the formula of C.S.A,

We get Curved Surface Area =

=

=

Therefore the Curved Surface Area of the cone with the specified dimensions is .