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A cylinder and a cone have a same height and same radius of the base. The ratio between the volumes of the cylinder and cone is__________?

Correct answer: B. 3:1

  • A. 1:3
  • B. 3:1
  • C. 1:2
  • D. 2:1

Explanation

For the same radius r and height h, the cylinder volume is pi r2h, while the cone volume is 1/3 pi r2h. Therefore, cylinder volume : cone volume = pi r2h : 1/3 pi r2h = 3:1. The likely alternative is 1:3, option a, which reverses the order asked in the question.

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About Area and Volume

Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.

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