Calculus

posted by .

A cylindrical tank, with height of 15 m and diameter 4m, is being filled with gasoline at a rate of 0.5m^3 / min.

a) At what rate is the fluid level in the tank rising? Express your answer in terms of pi.

b) About how long will it take to fill the tank? Express your answer to the nearest minute.

  • Calculus -

    If the tank is sitting on its end,

    volume= h*PIr^2
    dvolume/dt= dh/dt * PI r^2

    solve for dh/dt, you know dV/dt

    b. volume= ratevolume*time

    PI r^2*15=.5 * t solve for time.

    Your teacher is too easy.

  • Calculus -

    could you expand and explain further please? i just want to check my answer

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Water is leaking out of an inverted conical tank at a rate of 11400 cm^3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8.0m and the the diameter at the top is 3.5m. If the water …
  2. calculus

    Water is leaking out of an inverted conical tank at a rate of 10,000 cm^3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level …
  3. Calculus

    Water is leaking out of an inverted right conical tank at a rate of 0.0115 m^3/min. At the same time water is being pumped into the tank at a constant rate. The tank has height 11 meters and the diameter at the top is 7 meters. If …
  4. Math

    Water is leaking out of an inverted conical tank at a rate of 0.0109 {\rm m}^3{\rm /min}. At the same time water is being pumped into the tank at a constant rate. The tank has height 9 meters and the diameter at the top is 4.5 meters. …
  5. Calculus

    An inverted conical tank is being filled with water, but it is discovered that it is also leaking water at the same time. The tank is 6 meters high and its diameter at the top is 4 meters. The water is being added to the tank at a …
  6. Calculus 1

    Water is leaking out of an inverted conical tank at a rate of 12,000 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level …
  7. Calculus

    Water is leaking out of an inverted conical tank at a rate of 0.0142 m3/min. At the same time water is being pumped into the tank at a constant rate. The tank has height 13 meters and the diameter at the top is 3.5 meters. If the water …
  8. math

    Water is leaking out of an inverted conical tank at a rate of 10600.0 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 14.0 m and the the diameter at the top is 6.0 m. If the …
  9. calc rates

    Water is leaking out of an inverted conical tank at a rate of 10600.0 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 14.0 m and the the diameter at the top is 6.0 m. If the …
  10. Calculus 1

    Water is leaking out of an inverted conical tank at a rate of 9,500 cm^3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level …

More Similar Questions