MATH 152 Activity 3 (Section 7.2)
Directions: Put both your name and your partners name on the answersheet. Use scratch paper for work, meaning only
put the answers on the answer sheet. Turn in only ONE answer sheet per pair. Calculators are NOT allowed and you
may use your notes and textbook. Failure to follow these instructions will result in a 1 point deduction. Neat handwriting
is expected. Answers need not be simplified.
1. Find the volume of the solid obtained by rotating the region bounded by y = x2 , x = 0 and y = 4 about the y-axis.
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, y = 0, x = 0, x = 1 about
2. Find the volume of the solid obtained by rotating the region bounded by y = √
x+1
the x-axis.
3. Find the volume of the solid obtained by rotating the region bounded by y = x2 , x = y 2 about the line x = 2.
4. Find the volume of the solid obtained by rotating the region bounded by y = x2 , x = y 2 about the line y = −1.
5. Find the volume of the solid obtained by rotating the region bounded by y = x3 , x = 0, y = 8 about the line y = 8.
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