How would I do this question:
Water is running into a conical reservoir, 15 m deep and 8 m in diameter at the top at the rate of 1 cubic m/min. What is the depth when the level is rising 9/32pi m/min?
Thanks a lot.
Write r in terms of h.
If you split the cone vertically, you have a right-angled triangle,
height H=15 and width R=4.
As the water flows in, the height and radius of the water vary, but they
still have the same ratio
As the water enters at per minute
Now substitute your value for
to find "h squared" and take the square root.