Post a New Question

12th grade

posted by on .

Wheat is falling from a chute onto a level floor at a rate of 8pi ft3/min to form a conical pile. If the height of the pile is always equal to the radius of its base, at what rate is the radius increasing when the pile is 8 ft deep?

  • 12th grade - ,

    V = (1/3)πr^2h
    but h=r
    V= (1/3)πr^3
    dV/dt = πr^2 dr/dt
    so when h = 8 , r = 8 and dV/dt = 8π

    8π = π(8)^2 dr/dt
    dr/dt = 8π/(64π) = 1/8 ft/min

  • 12th grade - ,

    THANKS!

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question