What is the area for the horizontal cross section through the center of a sphere with a radius of 4 in.?
The area of the horizontal cross section through the center of a sphere is equal to the area of a circle with a radius equal to the radius of the sphere.
Given that the radius of the sphere is 4 inches, the area of the horizontal cross section is:
A = πr^2
A = π(4)^2
A = 16π square inches
Therefore, the area of the horizontal cross section through the center of a sphere with a radius of 4 inches is 16π square inches.