Question

Consider a prism with a height of 8 inches and a 14−inch by 14−inch square base, and a cylinder with a height of 10 inches and a diameter of 10 inches. Determine the difference in volume between the two solids.

Answer 1

782.5inch³

Explanation:

In order to find the volume of the prism, we'll use formula

V=Bh

where B is the base area and h is the height

Base area is given by: B= 14"×14"=196 inch²

height =8"

Therefore, V=196×8= 1568 in³

Next is to find volume of the cylinder i.e

v=r²h

where,

r = radius of cylinder i.e 10/2=5 inches

h = height of cylinder i.e 10 inches

So, V=3.142×5×5×10=785.5inch³

Required:

Difference in volume=1568-785.5=782.5inch³