# 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 #6 #, the cap's height is #4 #, and the cap's radius is #6 #. What is the object's volume?

##### 1 Answer

Aug 7, 2018

1034.96 cu. I would review,for bugs, if any.

#### Explanation:

From the dimensions of the spherical cap, the semi-angle that it

subtends at the center of its sphere,

The side length of the square top of the prism is

The entire volume = Volume of the cap + volume of the prism

= (( volume of the cone + volume of the

spherical cap ) - volume of the cone) + volume of the prism