Math

posted by .

The area of a cylinder is 956m3. If the circular top is halved, what is the new volume?

  • Math -

    Your question is rather vague.
    When you say that the circular top is halved, are you taking half of the diameter or half of the area ?

  • Math -

    The radius is halved

  • Math -

    (same as diameter halved, anyway ....)

    original:
    radius r, height h
    surface area = 2πrh + 2πr^2
    = 956

    πrh + πr^2 = 478
    h = (478-πr^2)/(πr)

    for new cylinder, height = h, radius = r/2

    volume = π(r^2/4)(478-πr^2)/(πr)
    = (478r - πr^3)/4

    so the relationship depends on the value of r

    Are you sure the area was 956 and not the volume?
    then the volume would simply be 1/4 of the original, or 239 m^3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Find the radius, volume, and hieght of the right- circlar cylindar that can be inscribed in a right- circular cone with a radius of 6 inches and a hieght of 10 inches. There are an infinite number of solutions to this. Did you mean …
  2. Math. HELP!

    A cylinder is to be made of circular cross-section with a specified volume. Prove that if the surface area is to be a minimum, then the height of the cylinder must be equal to the diameter of the cross-section of the cylinder. Maybe …
  3. Math. HELP!

    A cylinder is to be made of circular cross-section with a specified volume. Prove that if the surface area is to be a minimum, then the height of the cylinder must be equal to the diameter of the cross-section of the cylinder. Maybe …
  4. math

    A container in the shape of a right circular cylinder with no top has surface area 3*pi (m2). What height h and base radius r will maximize the volume of the cylinder ?
  5. MAth

    A right circular cylinder has a height of 5 in. and a base area of 20 in2. What is the volume of the cylinder?
  6. math

    A right circular cylinder of radius r and height h is inscribed in a right circular cone of radius R and height H, as shown on the right figure. Find the value of r (in terms of R and H) that maximizes the total surface area of the …
  7. Geometry

    If the edges of a rectangular prism are 8cm, 6cm, and the diagonal is 10radical2, what is volume of the solid?
  8. Math

    Optimization Problem A right circular cylindrical can of volume 128tπ cm^3 is to be manufactured by a company to store their newest kind of soup. They want to minimize the surface area of the can to keep costs down. What are the …
  9. Math

    Consider a right circular cylinder whose total surface area (top, bottom, side) is 300 pi; what must its radius be in order that the volume be as large as possible
  10. Advance Math

    If the radius of the right circular cylinder is 4 cm and the height is 16 cm and the measure of the central angle of the shaded sector is 45 degrees, what is the volume of the slice of the cylinder that has the 45 degree sector as …

More Similar Questions