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luda_lava [24]
3 years ago
8

______ happens when rain, snow, sleet, and hail that falls from the clouds to the earth’s surface.

Biology
1 answer:
Rudik [331]3 years ago
4 0

Answer:

precipitation

Explanation:

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A sand storage tank used by the highway department for winter storms is leaking. As the sand leaks out, it forms a conical pile.
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Rate of change of volume of the pile  = 54\pi

Explanation:

Given -

Rate of increase of the base of the pile = 0.75 inches per minute

Height of the pile = 2 * the radius of the base

Let "h"  be the height of the pile and "r" be the radius of the base.

Then h = 2* r

Radius "r" = 6 inches

Rate of change of radius i.e

\frac{dr}{dt} = 0.75

Volume of conical pile

\frac{\pi }{3} * r^2 * h\\= \frac{\pi }{3} * r^2 * 2 * r\\= \frac{\pi }{3} *2* r^3

Change in volume of conical pile

\frac{dV}{dt} =  \frac{dr}{dt}  * \frac{6* \pi * r^2 }{3}

Substituting the value of rate of change of radius, we get -

\frac{dV}{dt}  = 2 * \pi * (6^2) * (0.75)\\\frac{dV}{dt}  = 54 \pi

Rate of change of volume of the pile  = 54\pi

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