I'm retarded. Can someone tell me if I'm interpreting this question right?
>Sand is falling from an elevated chute at the rate of one tenth of a cubic metre per second. The sand
forms a conical pile where the (vertical) altitude is always 4/3 the radius of the base.
> Starting with the expression for the volume of the pile (1/3)
*pi*r^2*h, find the relationship
between the rate of change of the radius of the pile and the rate of change of the volume.
Do I solve this by setting h to r*(4/3) then finding the derivative? Is it as simply as that?
>Sand is falling from an elevated chute at the rate of one tenth of a cubic metre per second. The sand
forms a conical pile where the (vertical) altitude is always 4/3 the radius of the base.
> Starting with the expression for the volume of the pile (1/3)
*pi*r^2*h, find the relationship
between the rate of change of the radius of the pile and the rate of change of the volume.
Do I solve this by setting h to r*(4/3) then finding the derivative? Is it as simply as that?
