radius (r)=7 cm
height =h cm
volume (v)=(1/3)×πr²h
rate of change of h=dh/dt=?
Rate of change of volume:
↪dv/dt=(1/3)×d(πr²h)/dt
or, 5cm³/1s=(πr²/3)×(dh/dh)×(dh/dt)
or, 5 =(πr²/3)×1×(dh/dt)
or, (dh/dt)=15/(πr²)
=15/(π×7²)
=15/49π
↪(dh/dt) = 0.0974026cm/s➡ANS
