Question

A plane , parallel to the base of a cone intersects the cone at the midpoint between points A and B. determine the area of the cross- section formed by the intersection of the plane and the cone.

a) 4.71 in^ 2
b) 7.07 in ^ 2
c)9.42 in ^ 2
d) 13.24 in ^ 2

Answer 1

The radius of the base of the cone is equal to 3 inches. Since the plane intersects the cone at the midpoint between the vertex A and point B, the radius of that circle formed from the intersection is equal to 1.5 inches. The area is calculated through the equation,
A = πr²
Substituting the known values,
A = π(1.5 in)² = 7.067 in²
Thus, the answer to this item is the letter B.