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ACT Math · Question of the Day

ACT Math Question of the Day

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Thursday, August 13, 2026

A right circular cone has radius 3 units and height 12 units. The height is perpendicular to the circular base. What is the volume of the cone in cubic units?​

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Question of the Day

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A right circular cone has radius 3 units and height 12 units. The height is perpendicular to the circular base. What is the volume of the cone in cubic units?​

  1. 3636 cubic units
  2. 108π108\pi cubic units
  3. 72π72\pi cubic units
  4. 36π36\pi cubic units (correct answer)

Explanation: The solid is a right circular cone with radius 3 units and height 12 units, and we need to find its volume. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius and h is the height. Substituting the values, V = (1/3)π(3)²(12) = (1/3)π(9)(12) = (1/3)π(108). This calculates to 36π cubic units. Omitting the 1/3 factor might lead to 108π.