Apaper cup has the shape of a cone with height 10 cm and radius 3 cm (at the top. if water is poured into the cup at a rate of 2cm3/s, how fast is the water level rising when the water is 5 cm deep?

Using implicit differentiation, it is found that the water level is rising at a rate of 0.0764 centimetres per second.

The volume of a cone of radius r and height h is given by:

Applying implicit differentiation, the rate of change is given by:

In this problem:

Then

The water level is rising at a rate of 0.0764 centimetres per second.

A similar problem is given at link

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)