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happysage12
29.09.2019 •
Mathematics
Aconical water tank with vertex down has a radius of 10 feet at the top and is 20 feet high. if water flows into the tank at a rate of 10 ft3/minft3/min, how fast is the depth of the water increasing when the water is 15 feet deep?
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Ответ:
V=(ph^3)/12
V(15)=281.25p and since V=10t, t=28.125p
V=(ph^3)/12
dV/dh=(3ph^2)/12=(ph^2)/4 and since V=10t, dV/dt=10
(dh/dV)(dV/dt)=dh/dt=12/(3ph^2)*10
dh/dt=120/(3ph^2) and we want the rate when h=15 so
dh/dt(15)=120/(675p)
dh/dt=0.05658 ft/min
Ответ:
ill do if u give me points