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triplejjj964
11.09.2021 •
Mathematics
The volume of a conical pile of sand is increasing at a rate of 300πcm3/sec
300π cm^3/sec
. The height (h) of the pile is always four times the radius (r)
Express the radius in centimeters as a function of time in seconds.
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Ответ:
r^2pi x h/3
The height is always 4 times the radius, so:
h=4r
Now putting the values into the original formula:
r^2pi x 4r/3
Now to see how much the radius increases per second:
r^2pi x 4r/3=300pi
r^2 x 4r/3=300
r^2 x 4r=900
r^2 x r=225
r^3=225
The radius increases by the cubic square root of 225 cm per second.
f(s)= 225^1/3 cm
Ответ:
Maybe later I have work to do