AP Calculus BC

posted by .

A cylindrical tank is constructed to have a diameter of 5 meters and a height of 20 meters. Find the error in the volume if:

(a) the diameter is exact but the height is 20.1 meters

(b) the height is exact, but the diameter is 5.1 meters.

  • AP Calculus BC -

    volume = π(2.5)^2(20) = 392.699

    a) vol = π(2.5)^2(20.1) = 394.663

    You do b), ok?
    let me know what you get.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    The volume of a cylinder is 1256 meters. The height is 13 meters. Diameter is x. What is the diameter?
  2. solid mensuration

    A cylindrical tank with flat ends has a diameter of two meters and is 5meters long. It is filled with fuel to a depth of one and one-half meters. Find the volume of the fuel in the tank in liters. plsss help!!
  3. Math

    A rectangular prism has a length of 100 cm, a height of 10 cm and a width of 5 cm. What is the volume of the rectangular prism?
  4. math

    If a plant manufacturing carpet backing has a cylindrical tank that is 3 meters high and is 6 meters in diameter. What is the volume of the tank?
  5. 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 …
  6. 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 …
  7. Calculus

    A cylindrical water tank has radius r=1 meter and height 10 meters. Suppose the tank is lying on its side and is filled halfway with water. How much work does it take to pump all the water out the top of the tank?
  8. Geometry

    7. What is the surface are of a conical grain storage tank that has a height of 37 meters and a diameter of 16 meters?
  9. Geometry

    7. What is the surface area of a conical grain storage tank that has a height of 24 meters and a diameter of 16 meters?
  10. Geometry

    7. What is the surface area of a conical grain storage tank that has a height of 24 meters and a diameter of 16 meters?

More Similar Questions