Experts answer it ASAP....
Dear student,
If V be the volume of liquid in the cylinder, at a height h of the water level then V=πr²h.
Differentiating both sides w.r.t time t,
we get =πr²
⇒Q=πr² or =πr²Q
Note the represents the rate at which the volume of liquid in the cylinder increases, which is same as the rate of pouring of water through the tap.
Regards.
If V be the volume of liquid in the cylinder, at a height h of the water level then V=πr²h.
Differentiating both sides w.r.t time t,
we get =πr²
⇒Q=πr² or =πr²Q
Note the represents the rate at which the volume of liquid in the cylinder increases, which is same as the rate of pouring of water through the tap.
Regards.