We are given a solid with a base of a circle with a radius of 3 centimeters. Each cross section which is perpendicular to a fixed diameter of the base is semicircular. We need to find the cross-sectional area.
First, calculate the area of the base:
A = pi * r^2
A = pi * 3^2
A = 9 * pi cm^2
Then, to get the cross-sectional area we need to determine the equation of A (x) with respect the cross section perpendicular to the base. From there, substitute the value of the area of the base and solve for the cross-sectional area.
