The radius of a cone is 7 cm and area of curved surface is 176 cm 2- Find the slant height-

It is given that the curved surface area (C.S.A) of the cone is 176 cm2 and that the base radius is 7 cm. The formula of the curved surface area of a cone with ...

You visited us 13 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

C.S.A of the Cone

The radius of...

Question

The radius of a cone is 7 cm and area of curved surface is 176 cm². Find the slant height.

Open in App

Solution

It is given that the curved surface area (C.S.A) of the cone is 176 cm² and that the base radius is 7 cm. The formula of the curved surface area of a cone with base radius ‘r’ and slant height ‘l’ is given as

Curved Surface Area =

Hence, slant height, l =

Substituting the values of C.S.A and the base radius and using in the above equation,

Slant height, l =

= 8

Hence the slant height of the cone with the mentioned dimensions is.

Suggest Corrections

Similar questions

Q. The radius and slant height of a cone are

7 c m

and

10 c m

respectively. Find its curved surface area.

(π = \frac{22}{7})

Q. The radius of a cone is

7 c m

and its slant height is

10 c m

. Calculate the curved surface area of the cone.

The curved surface area of right circular cone whose slant height is 10 cm and base radius is 7 cm

Q. A cone has a slant height of 9 cm and a base of radius of 7 cm. Find (i) its curved surface area (ii) total surface area.

Q. The slant height of a cone is 10 cm and the radius of its base is 7 cm. What is it curved surface area?

Join BYJU'S Learning Program

The radius of a cone is 7 cm and area of curved surface is 176 cm2. Find the slant height.

The radius of a cone is 7 cm and area of curved surface is 176 cm². Find the slant height.