Math; Algebra

posted by .

A sphere and a cone have the same volume. Each figure has a radius of 3 inches. What is the height of the cone?

  • Math; Algebra -

    If r = 3
    Volume of sphere = (4/3)π r^3 = 36π
    volume of a cone = (1/3)π r^2 h =3π h

    3π h = 36π
    3h = 36
    h = 12

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    A right circular cone is inscribed inside a sphere. The right circular cone has the radius of the base of 4 inches and the height is greater than 2 inches. The sphere has a radius of 5 inches. What is the ratio of the volume of the …
  2. geometry

    The volume of a cone is 54 pi cubic inches. The radius and height of the cone are both reduced by a factor of 3 to create a new cone. What is the volume of the new cone?
  3. Algebra

    The volume of a cone is 54 pi cubic inches. The radius and height of the cone are both reduced by a factor of 3 to create a new cone. What is the volume of the new cone?
  4. Math

    A sphere is inscribed in a right cone. The slant height of the cone = the diameter of the base of cone. If the radius of the sphere is r, find the volume of the cone in terms of r.
  5. Geometry 10th

    A cone is inscribed in a sphere with a radius of 5 centimeters.The distance from the center of the sphere to the center of the base of the cone is x. Write an expression for the volume of the cone in terms of x (Hint: Use the radius …
  6. math

    A cone has a radius of 6 inches and a height of 9 inches a) calculate the volume of the cone. use pi. as my answer for part a i got 339.92 cubic inches,,,,,,, Is my answer correct ?
  7. algebra

    volume of cone varies jointly as square of its radius and its height if volume of a cone is 27pie cubic inches when radius is 3 inches and height is 9 inches find volume of a cone when radius is 4 inches and height is 3 inches
  8. Calculus

    A cone is inscribed in a sphere of radius a, centred at the origin. The height of the cone is x and the radius of the base of the cone is r, as shown in the diagram opposite. Find the height, x, for which the volume of the cone is …
  9. Math

    the formula for the volume of a cone is v=1/3pir^2h. The volume cone x is 2 times the volume of cone Y. Why the height of cone X is 2 times the heigh of the cone Y, and the radius of cone X is the same as the radius of cone Y.
  10. math

    The diameter and the slant height of a cone are both 24 cm. Find the radius of the largest sphere that can be placed inside the cone. (The sphere is therefore tangent to the base of the cone.) The sphere occupies a certain percentage …

More Similar Questions