The height of a grain of a cylindrical silo is is increasing at a constant rate of 4 feet per minute At what rate is the volume of grain in the cylinder if the radius of the silo is 10 feet?
Accepted Solution
A:
Volume of cylinder [tex]V = \pi h r^2 [/tex]
radius is given as 10 [tex]V = \pi h (10)^2 = 100\pi h[/tex]
Differentiate with respect to 't' [tex]\frac{dV}{dt} = 100 \pi \frac{dh}{dt} [/tex]