Unformatted text preview: are squares. €
4. Calculate the volume of a pyramid of height 12 meters whose base is a square of side 4 meters. €
5. Find the volume of the solid of revolution when the region bounded by € π
y = cos x sin x and the x‐axis on 0, is revolved about the x‐axis. 2
6. Find the volume of the solid of revolution when the region bounded by y = x 2 + 2 and y = 10 − x 2 is rotated about the x‐axis. €
7. Find the volume of the solid when the region bounded by y = 4 − x and €
x = 16 − y 2 is rotated about the y‐axis. 8. Determine the volume of the solid obtained by rotating the region enclosed €
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by y = 2 x and y = x about (a) x = −2 and (b) y€ 4 . =
9. Determine the volume of the solid obtained by rotating the region enclosed €
by y = x 2 , y = 12 − x and x = 0 about (a) y = −2 and (b) x = 10 . € € € €
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This document was uploaded on 02/21/2014 for the course MATH 2B at UC Irvine.
 Spring '05
 staff
 Math, Calculus

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