ap-calculus-bc 2012 Q87

ap-calculus-bc · Usa · practice-exam Volumes of Revolution Volume by Cross Sections with Known Geometry
Let $R$ be the region in the first quadrant bounded above by the graph of $y = \ln ( 3 - x )$, for $0 \leq x \leq 2$. $R$ is the base of a solid for which each cross section perpendicular to the $x$-axis is a square. What is the volume of the solid?
(A) 0.442
(B) 1.029
(C) 1.296
(D) 3.233
(E) 4.071
Let $R$ be the region in the first quadrant bounded above by the graph of $y = \ln ( 3 - x )$, for $0 \leq x \leq 2$. $R$ is the base of a solid for which each cross section perpendicular to the $x$-axis is a square. What is the volume of the solid?

(A) 0.442

(B) 1.029

(C) 1.296

(D) 3.233

(E) 4.071