Ask questions and get helpful answers.

sand is falling into a conical pile so that the radius of the base of the pile is always equal to one half its altitude. of the sand is falling at the rate of 10 cubic feet per minute, how fast is the altitude of the pile increasing when the pile is 5 feet deep?

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩

2 answers

  1. given: r = h/2

    V = (1/3)π r^2 h
    = (1/3)π (h/2)^2 (h)
    = (1/12) π h^3

    dV/dt = (1/4)π h^2 dh/dt
    for the given data ...

    10 = (1/4)π(25)dh/dt
    dh/dt = 10(4)/((25π) = 1.6/π feet/min

    check my arithmetic

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. Just to appreciate the good work. I wanted to hammer it in a congruent way.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Related Questions

Still need help?

You can ask a new question or browse existing questions.