Post a New Question

math

posted by .

find the volume of the cup. the diameter of the top is 3inches. the diameter of the base is 2inches. the height is 4inches.

  • math -

    If you draw a picture, and imagine that the truncated cone is produced to its vertex V where the diameter is zero, then
    height from V to the section at which the diameter is 2"
    = 2*4" = 8"

    Height of complete cone = 4"+8"=12"
    Height of "missing" cone = 8"

    Volume of complete cone
    = πr²h/3
    = 12π(3/2)²/3
    = 9π

    Volume of "missing" cone
    =πr²h/3
    =8π(2/2)²/3
    =(8/3)π

    Therefore volume of the truncated cone
    = 9π - (8/3)π
    = ...

    Volume of comp

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    a pie dish has a base diameter 8 inches and a top diameter 10 inches and a height 2 inches. What is the volume of the dish?
  2. calc

    a pie dish has base diameter 8 inches and top diameter 10 inches and height 2 inches. what is the volume of the disk?
  3. Math

    1)Forty solid hemisphere each of diameter 2cm , are melted to form a solid cone with a base diameter 6cm .Find the height of the cone?
  4. Physics

    The diameter of the base of a tapered drinking cup is 6.6cm . The diameter of its mouth is 9.8cm . The path of the cup curves when you roll it on the top of a table. How much faster does the mouth move than the base?
  5. calculus help

    A drinking cup is made in the shape of a right circular cylinder. for a fixed volume, we wish to make the total material used, the circular bottom and the cylindrical side, as small as possible. Find the ratio of the height to the …
  6. math

    a model of a solid structure in the shape of frustum of a cone with hemispherical top. The diameter of the hemispherical part is 70 cm and is equal to the diameter of the top of the frustum. The frustum has a base diameter of 28 cm …
  7. Math

    a cylindrical cup is made so that the sum of its diameter and its height is 25 cm. find the dimensions of the cup so that the surface area of the cup is a maximum. The answers are. D= 50/3. H=25/3. But how do u get that
  8. math

    in the frustum of a cone,the top diameter is twice the bottom diameter. if the height is h cm, find the height of the cone
  9. Solid mensuration

    In a frustum of a right circular cone the diameter of the lower base is 24ft while the diameter of the upper base is 14ft if the slant height of the frustum is 13ft find the total area and the volume of the frustum.
  10. Math, Algebra (fast help would be nice)

    So I did this whole math test and before I could hit "finish", my computer died and nothing saved. I have no memory of how I figured them out. Could you guys help please?

More Similar Questions

Post a New Question