1
Question
The curved surface area of a cone is 4070 cm2 and its diameter is 70 cm. What is its slant height? (Use = 22/7).
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Solution
It is given that the curved surface area (C.S.A) of the cone is 4070 cm2 and that the base diameter is 70 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 = 
The base radius is half of the base diameter. And since the base diameter is given as 70 cm we can find out the base radius as, r = 35 cm.
Substituting the values of C.S.A and the base radius and using 
in the above equation,
Slant height, l = 
= 
= 37
Hence the slant height of the cone with the mentioned dimensions is
.
It is given that the curved surface area (C.S.A) of the cone is 4070 cm2 and that the base diameter is 70 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 =
The base radius is half of the base diameter. And since the base diameter is given as 70 cm we can find out the base radius as, r = 35 cm.
Substituting the values of C.S.A and the base radius and using in the above equation,
Slant height, l =
=
= 37
Hence the slant height of the cone with the mentioned dimensions is.
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