posted by .

The vase company designs a new vase that is shaped like a cylinder on bottom and a cone on top. The catalog states that the width is 12 cm and the total height is 42 cm. What would the height of the cylinder part have to be in order for the total volume to be 1224pi cm cubed?

  • Math -

    volume=PI*(diameter/2)^2 *h + pi(diamter/2)^2 (1/3)(42-h)

    solve for h.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. English

    Thank you very much for explaning everything to me! Here are a few other things I'd like to know. Thank you. 1) He advised me to leave the next morning. He advised that I leave .... He recommend that I leave ... 2) She earns/makes …
  2. Physics

    An antique vase sits on a frictionless surface. A 39.3 N force is applied to the vase, and it accelerates at 8.1 m/s2. What is the mass of the vase?
  3. Geometry Part 2

    Janine made a cylindrical vase in which the sum of the lateral area and area of one base was about 3000 square centimetres.The vase had a height of 50 centimetres .Find the radius of the vase.Explain your method you would use to find …
  4. Algebra 1

    Check answer Glass Vase You are taking a glass-blowing class and have created a vase in the shape of a sphere. The vase will have a hole in the top so you can put flowers in it and it will sit on a stand. The radius of your vase …
  5. Geometry

    Karen makes pottery on a pottery wheel. Today she is making vases that are in the shape of a circular cylinder that is open at the top, that is, it has only one base. The base has a radius of 4.5 centimeters and 0.75 centimeters thick. …
  6. geometry

    Janine made a cylindrical vase in which the sum of the lateral area and area of one base was about 3000 square centimeters. The vase has a height of 50 centimeters. Find the radius of the vase. Explain the method you would use to find …
  7. 9th grade geometry

    Rounded to the nearest hundred cubic meters, what is the total capacity (cone and cylinder) of the storage container?
  8. pleazzzzee help

    oyce is buying a pair of jeans for $39.99. The jeans are on sale at a 20% discount and the sales tax is 7%. Write a function T(x) to represent the total cost of an item with 7% sales tax. Find the composite function (T of S)(x).Use …
  9. Math

    A rectangular flower vase whose base is 20 cm long and 15 cm wide is half-filled with water. When Michelle placed some stones in the vase, the water rises from 5 cm to 7 cm. What is the volume of the stones that Michelle put in the …
  10. math

    a vase is in the shape of a cone that is 10 inches tall with a diameter of 3 inches. what is the greatest amount of water the vase can hold a.) 23.56 in.^3 b.) 54.72 in.^3 c.) 70.65 in.^3 d.) 94.25 in.^3

More Similar Questions