An object is made of a prism with a spherical cap on its square shaped top. The cap's base has a diameter equal to the lengths of the top. The prism's height is # 12 #, the cap's height is #8 #, and the cap's radius is #4 #. What is the object's volume?
It's a sphere over square prism with side of square base and the diameter of sphere same. i.e.