The height of a cone is 24 cm and the diameter of its base is 14 cm. The curved surface area of the cone is

Options

A. `528 cm^(2)`
B. `550 cm^(2)`
C. `616 cm^(2)`
D. `704 cm^(2)`

Answer

B

Explanation

`l^(2) = (r^(2) + h^(2)) = 7^(2) + (24)^(2) = (49 + 576) = 625`
`:. l = sqrt625 = 25 cm`
Curved surface area `pi rl = ((22)/(7) xx 7 xx 25) cm^(2) = 550 cm^(2)`