rate of change
2007-04-10 2:59 am
回答 (1)
2007-04-10 3:12 am
✔ 最佳答案
Let h cm be the height of the heap of sandLet V cm3 be the volume of sand
V=1/3 (π)(h tan 30°)2h
dV/dt = 1/3(π tan230°)3h2(dh/dt)
dh/dt = 3 dV/dt ÷[(π tan230°)3h2]
dh/dt∣h=15 = (102 x 3)÷[π(tan230°) x 3 x 15 x 15]
dh/dt∣h=15 = 2/(15π) cm min-1
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