Homework SourseSand is falling in a conical pile at a rate of 12 cubic feet
Sand is falling in a conical pile at a rate of 12 cubic feet per minute. The vertical
cross-section of the pile is always an isosceles right triangle.
How fast is the height of the pile increasing when the height is 4 feet?
[You will need to justify every step when working with the triangle(s).
I have been stuck at this problem. Please help me.
cross-section of the pile is always an isosceles right triangle.
How fast is the height of the pile increasing when the height is 4 feet?
[You will need to justify every step when working with the triangle(s).
I have been stuck at this problem. Please help me.
Solution
Volume = 1/3*pi*r^2*h Isoceles triangle = r = h/2 dV/V = dh/h dh = 4*12/(1/3*pi*4*(4/2)^2) = 2.86
