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?
+1490 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 in2 
