Math, asked by shubhamchandak8269, 1 year ago

Find the rate of change of volume of a cone w.r.t. its radius, when the height is kept constant.

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Answered by Anonymous
0
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Answered by amitnrw
1

Answer:

rate of change of volume = (2/3) π rh

Step-by-step explanation:

Volume of a cone = (1/3) π r²h

where r = radius of cone

& h = height of cone

& rest are constant

Now we need to find rate of change of Volume with respect to radius when the height is kept at constant

=> V = (1/3) π h  * r²

where only r is variable , rest is constant

dV/dr = (1/3) π h  (2r)

=> dV/dr = (2/3) π rh

rate of change of volume = (2/3) π rh

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