Water is being poured into an inverted right conical vessel whose apex angle at $90°$ at a constant rate of $3\,\text{cm}^3/\text{s}$. At what rate is the water level rising when the depth is $π\,\text{cm}$.
Hi,I can easily solve these kind of problems, but this time there is no radius or height given that i can use to solve this problem. Can anyone help me with this. Thanks.
Since the apex angle is given as $\;90^{\circ}$, the base angles are each $45^{\circ},\;$ thus $\dfrac{r}{h} = 1$
$h\;$ has already been given as $\pi$
You now have all the information you need.
Proceed...