MATH SOLVE

2 months ago

Q:
# 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.

Accepted Solution

A:

Answer:782.5inch³Step-by-step explanation:The question is on volume of a prism and that of a cylinderFinding the volume of the prismV=Bh where B is the base area and h is the heightBase area=14"×14"=196 inch²height =8"v=196×8= 1568 in³Finding volume of the cylinderv=[tex]\pi[/tex]r²h where r is the radius of cylinder and h is the height of cylinderr=10/2=5 inches and h=10 inchesv=3.142×5×5×10=785.5inch³The difference in volumeDifference in volume=1568-785.5=782.5inch³