Problem

PART 1: Fill in the blanks.

• Work need not be shown, only answers will be graded.

• 4 points for each blank and 100 points total.

• Each answer need to be clearly labeled on the answer sheet.

• Use of any device with computer algebra system during the exam will result in zero points.

9. Let $R$ be the region below the curve $y=\sin^2 x$ when $0\le x\le \pi$ and $V$ be the volume of the solid obtained by rotating $R$ about the $y$-axis. Then $V=\underline{\quad(12)\quad}$.