Multiple choice

Radius and height of a right circular cone and that of a right circular cylinder are respectively, equal. If the volume of the cylinder is $120{cm}^{3}$, then the volume of the cone is equal to

  1. $1200{cm}^{3}$
  2. $360{cm}^{3}$
  3. $40{cm}^{3}$
  4. $90{cm}^{3}$
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C Correct answer
Explanation

Volume of cylinder = pi * r^2 * h = 120. Volume of cone = 1/3 * pi * r^2 * h. Since r and h are the same, volume of cone = 1/3 * 120 = 40.

AI explanation

For a right circular cone and a cylinder with equal radii and heights, the volume of the cone is exactly one third of the volume of the cylinder. Given the cylinder volume is 120 cubic cm, the cone volume is one third of 120. The volume of the cone is 40 cubic cm.

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