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Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder?

Correct answer: A. 360 cc

  • A. 360 cc
  • B. 60 cc
  • C. 300 cc
  • D. 36 cc

Explanation

Cylinder volume is πr²h, so with equal heights the volume ratio is the square of the radius ratio: 1²:3² = 1:9. Therefore, the second volume is 40 cm³ × 9 = 360 cm³. The likely wrong choice is 60 cm³, which multiplies by 3 instead of by 3².

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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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