Mathematics, 29.07.2019 11:30 nickname0097
At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. the diameter of the base of the cone is approximately three times the altitude. at what rate is the height of the pile changing when the pile is 12 feet high?
Answers: 1
![\dfrac{dV}{dt}=\dfrac{d}{dt}\left[\dfrac{3\pi h^3}{4}\right]\\\dfrac{dV}{dt}=\left[\dfrac{9\pi h^2}{4}\right]\dfrac{dh}{dt}](/tpl/images/0146/4850/f0039.png)
.![\dfrac{dV}{dt}=\left[\dfrac{9\pi (12)^2}{4}\right]\dfrac{dh}{dt}\\10=324 \pi \dfrac{dh}{dt}\\\dfrac{dh}{dt}=32.4 \pi\\\dfrac{dh}{dt}=101.828](/tpl/images/0146/4850/c38c8.png)
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At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 c...
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