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 volime between the two solids.

Answer 1

782.5inch³

Explanation:

The question is on volume of a prism and that of a cylinder

Finding the volume of the prism

V=Bh where B is the base area and h is the height

Base area=14"×14"=196 inch²

height =8"

v=196×8= 1568 in³

Finding volume of the cylinder

v=
`\pi`r²h where r is the radius of cylinder and h is the height of cylinder

r=10/2=5 inches and h=10 inches

v=3.142×5×5×10=785.5inch³

The difference in volume

Difference in volume=1568-785.5=782.5inch³