Home > CALC > Chapter 11 > Lesson 11.3.1 > Problem11-104

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. $1.127$

1. $1.271$

1. $1.721$

1. $2.171$

1. $2.711$

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