Math

The diagram shows a solid metal cylinder.
The cylinder has base radius 2x and height 9x.
E cylinder is melted down and made into a sphere of radius r.
Find the expression for r in terms of x.

  1. 👍 0
  2. 👎 0
  3. 👁 683
  1. V = πr^2h = π(2x)^2(9x) = 4/3πr^2

    This is volume of the cylinder and volume of the sphere. You can simplify this.

    1. 👍 1
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus

    A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the cylinder increases and the radius r decreases. Assume that no clay is lost in the process. Suppose the height of the cylinder is

  2. physics

    A string is wrapped around a uniform solid cylinder of radius r. The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Note that the positive y

  3. calc

    When the height of a cylinder is 12 cm and the radius is 4 cm, the circumference of the cylinder is increasing at a rate of pie/4 cm/m in, and the height of the cylinder is increasing four times faster than the radius. How fast is

  4. Physics

    Four objects - a hoop, a solid cylinder, a solid sphere, and a thin, spherical shell - each has a mass of 4.59 kg and a radius of 0.252 m. (a) Find the moment of inertia for each object as it rotates about the axes shown in the

  1. Calculus

    A cylinder is inscribed in a right circular cone of height 5.5 and radius (at the base) equal to 2 . A) What are the dimensions of such a cylinder which has maximum volume? B) What is the radius? C) What is the height?

  2. physical

    A solid cylinder has a radius of 0.051 m and a height of 0.0030. The cylinder is composed of two different materials with mass densites of 1950 kg/m3. If each of the two materials occupies an equal volume, what is the mass of the

  3. MATH

    A cylinder has a circular base with a diameter of 12 ft. The height of the cylinder is 4 ft. What is the volume of the cylinder rounded to the nearest whole number? Use 3.14 for pi. A. 452in2 B. 1,809ft2 C. 151ft2 D. 603ft2

  4. Algebra

    The volume of a right circular cylinder (think of a pop can) is jointly proportional to the square of the radius of the circular base and to the height. For example, when the height is 10.62 cm and the radius is 3 cm, then the

  1. Math

    The volume of a cylinder is given by formula V= pi(3.14) r^2h where r is base radius and h is height a) the height of a cylinder of radius 5cm and volume 500. Cm^3 B) radius of base of a cylinder of volume 300 cm^3 and height 10

  2. physics

    A solid cylinder of mass m and radius R rolls down a parabolic path PQR from height without slipping (assume R ≪ H) as shown in the figure below. Path PQ is rough (and so the cylinder will roll on that path), whereas path QR is

  3. Calculus

    A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest possible surface area of such a cylinder.

  4. geometry

    The volume of a cylinder is 980 in.. The height of the cylinder is 20 in. What is the radius of the cylinder? Express your answer to the nearest hundredth.

You can view more similar questions or ask a new question.