Question

Find the surface area of the cone shown. Find the surface area of a cone with the same slant height and triple the diameter. Use 3.14 for pi 24 cm is the diameter and 41 cm is the slant height

Answer 1

Answer:

surface area = 8704.08 cm²

Step-by-step explanation:

The surface area of a cone is given by the formula;

SA = πr² + πrL

Where r is radius and L is slant height

We are given;

Diameter = 24cm

Slant height; L = 41 cm

We are told that this new cone has a diameter that is triple of the one given.

Thus, new diameter = 24 x 3 = 72 cm

Thus, Radius; r = 72/2 = 36 cm

SA = π(36)² + π(36)(41)

SA = (3.14 * 1296) + (3.14 * 1476)

SA = 8704.08 cm²