Math 2B Volume problems

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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 € € 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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