Answer:
Not constant
Step-by-step explanation:
We are supposed to find if the rate of increase of height is constant or not when the rate of increase of volume is constant.
Given object is cone , which has the volume height relation as
[tex]V=\frac{1}{2}\pi r^2h[/tex]
when we differentiate this equation ,
[tex]\frac{dv}{dt}=\frac{1}{2}\pi (2r\frac{dr}{dt}h+r^2\frac{dh}{dt} )[/tex]
here we observe that though [tex]\frac{dv}{dt}[/tex] is constant the rate of change of height is dependent on r and h so its not constant.
