what is the area for the horizontal cross section through the center of a sphere with a radius of 4 in.
The area of a horizontal cross section through the center of a sphere is equal to the area of a circle.
The formula for the area of a circle is A = πr^2, where r is the radius.
In this case, the radius of the sphere is 4 inches, so the area of the horizontal cross section through the center of the sphere is:
A = π(4)^2 = π(16) = 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.