# 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 #4 #, and the cap's radius is #3 #. What is the object's volume?

##### 1 Answer

Jun 12, 2018

#### Explanation:

This is a square prism. The radius of the cap is 3, so the width of the square is 6.

Volume of prism:

Area of base x height.

Volume of a spherical cap is given by:

Total volume: