# 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 # 7 #, the cap's height is #4 #, and the cap's radius is #8 #. What is the object's volume?

##### 1 Answer

Jan 18, 2018

It's a trickily-written question: we need to deduce that it's a sphere on a square prism. It is also not clear whether the top is spherical or hemispherical. The volume of the object is

#### Explanation:

Volume of the sphere:

If the cap is a hemisphere, its volume will be half this,

The square has side length

Volume of square prism:

If the cap is a full sphere, the total volume is

If the cap is a hemisphere, the total volume is