A cone has a base area of 24 square inches and a height of 8 inches. What is the area of a cross-section of the cone that is parallel to the base and 3 inches from the vertex?

Guest Feb 12, 2020

#2**0 **

A cone has a base area of 24 square inches and a height of 8 inches. What is the area of a cross-section of the cone that is parallel to the base and 3 inches from the vertex?

Cone height h = 8

Cone base r = sqrt( 24/pi) = 2.764

AB = h - 3 = 5

BC = 5 / tan(β) = 1.727

FB = FC - BC = 1.036482449 ( FB is the radius of cross-section circle)

**Area of a cross-section is: (FB) ^{2 }* pi = 3.375 in^{2}_{ }**

Dragan Feb 12, 2020