The base of a solid V is the region bounded by and Find the volume if V has semicircular cross sections perpendicular to the x-axis.

Question

The base of a solid V is the region bounded by  and  Find the volume if V has semicircular cross sections perpendicular to the x-axis.

Quizplus · Accepted Answer

The base of the solid is a region bounded by two semicircles. The radius of each semicircle is 11 units (half the distance between the endpoints of the segment) and the height of the solid is also 11 units (since the semicircles are perpendicular to the x-axis). 
Therefore, the volume of the solid is given by:
V = (1/2)π(11)^2(11) = (121/2)π ≈ 190.4 cubic units.
The only option that matches this value is B.

The Base of a Solid V Is the Region Bounded