A bowl is formed by rotating the line and hence the enclosed

A bowl is formed by rotating the line and hence, the enclosed area, shown here one revolution about the y-axis. The volume of the bowl formed this manner is: (A) 28.3 in^3 (B) 37.7 in^3 (C) 56.5 in^3 (D) 113 in^3

Solution

The Volume of the bowl formed by rotating the above line about Y-Axis can be calculated by the formula

((PI/4)*D^2)*H

WHERE PI=CONSTANT=3.14

D= dia of bowl formed= 3 in

H= height of bowl=2 in

using the above formula the answer obtained is

ANS: OPTION (C) 56.5