Question

The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13 centimeters. What is the approximate surface area of the cone? Use 3.14 for π and round to the nearest whole number. 267 cm2 283 cm2 456 cm2 487 cm2

Answer 1

283 cm^2

Explanation:

Solution:-

We have a cone with a circular base of radius r = 5 cm

The height of the cone is h = 12 cm

The slant height of the cone is L = 13 cm

We are to determine the surface area of the cone. The surface area of the cone is comprised of two parts:

Base Area : Circle

`A_1 = \pi r^2\\\\A_1 = \pi 5^2\\\\A_1 = 25\pi`

Curved Surface: conical

`A_2 = \pi * r*L\\\\A_2 = \pi * 5*13\\\\A_2 = 65\pi`

The total surface area of the cone can be written as ( A ):

`A = A_1 + A_2\\\\A = (25 + 65 )*\pi \\\\A = 90*(3.14) \\\\A = 282.7433 cm^2`

Answer: The surface area of the cone to nearest whole number would be 283 cm^2