Answer:
95,040 different cast are possible
Step-by-step explanation:
In this case the order in which the actors are selected for the 5 different roles is important. Therefore we use the permutations formula.
Where n is the number of items you can choose and choose r from them.
In this case and
tis a little of plain differentiation.
we know the radius of the cone is decreasing at 10 mtr/mins, or namely dr/dt = -10, decreasing, meaning is negative.
we know the volume is decreasing at a rate of 1346 mtr/mins or namely dV/dt = -1346, also negative.
so, when h = 9 and V = 307, what is dh/dt in essence.
we'll be needing the "r" value at that instant, so let's get it
now let's get the derivative of the volume of the cone