Please help!!
The region bounded by the lines y = 4 and x = 2 and the curve x^2 = 4y is revolved about the y-axis. Find the volume by the method of shells.
Cylindrical shells problem!!!
2010-01-16 8:53 pm
回答 (1)
2010-01-17 7:53 am
✔ 最佳答案
V=∫[2~4] 2πx(4-x^2/4) dx= 2π∫[2~4] (4x - x^3/4)dx
= 2π (2x^2 - x^4/16) for x=2~4
= 2π [2*(16-4)- (256-16)/16]
= 18π
收錄日期: 2021-04-30 14:11:44
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