Question

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

Answer 1

hope this helps you.....

Answer 2

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