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tilly29
14.07.2020 •
Mathematics
Salt is falling on a Conical pile of 6 cubic meters per minute. The diameter of the cone is twice the height, what is the rate the height is changing when the pile is 9 meters tall.
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Ответ:
0.0236 m per minute,
Step-by-step explanation:
Volume of the cone V = 1/3 π r^2 h.
Diameter = 2r = 2h so r = h
and V = 1/3 π h^3
So the rate of change of volume with height =
dV / dh = π h^2.
We are given that dV/dt = 6.
So the rate of change of height: dh/dt = dV/dt * dh/dV
= 6 * 1/ π h^2
When h = 9
dh/dt = 6 / 81π m per minute
= 0.0236 m per minute,
Ответ:
the answer is
x= 8/3