what is the surface area of a cone in terms of pi with a diameter of 14cm and a slant height of 20cm

Mathematics · High School · Mon Jan 18 2021

Answered on

Given:

Diamater = 14cm

Radius = 14cm/2
Radius = 7cm

Heigh = 20 cm

Determine the surface area.

Formula for the surface area of the cone.

A=πr(r+√(h^2+r^2))

Solution:

Substitute the given values or r, and h to the formula for the surface area of the cone.

A=π (7)((7)√(20^2+7^2))

A=π (7)((7)√(449)

A=π (7)((7)21.19)

A=π (7)(148.33)

A = 3,261.88 cm^2

Final answer:
A = 3,261.88 cm^2