Question

related rates:) An inverted cone with height 10 cm and radius 2 cm is partially filled with liquid which is oozing out through the sides at a rate proportional to the area of the cone in contact with the liquid. (The area of a cone is pi(r)(l) where r is the radius and l is the slant height of the cone) Liquid is also being poured in to the top of the cone at a rate of 1 cm^3/min. At what rate must liquid be poured into the top of the cone to keep the liquid at a constant depth of 4 cm?

Answer 1

@hartnn

Answer 2

\[A_{cone} = \pi r l\]\[V_{cone}=\frac{ 1 }{ 3 }\pi r^2 h\]