CPM Homework Help : CALC Problem 11-104

Multiple Choice: The base of a solid is the region between the curve $y = x\operatorname{sin}x$ and the $x$ -axis on the interval $0 ≤ x ≤ π$ . The cross-sections perpendicular to the $x$ -axis are semi-circles. Find the volume of the solid.

$1.127$

$1.271$

$1.721$

$2.171$

$2.711$

Hint:

The diameter of each semicircle is y/2.
The area of each semicircle is π(r²)/2.
The width of each cross-section is $dx$ .