Multiple choice

A right angled triangle ABC with sides $5 cm$, $12 cm$ and $13 cm$ is revolved about the side $12 cm$. Find the volume of the solid so obtained

  1. $314.28cm^3$
  2. $30.28cm^3$
  3. $34.28cm^3$
  4. $14.28cm^3$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Revolving a right triangle (5, 12, 13) about the 12 cm side creates a cone with height h = 12 and radius r = 5. Volume = (1/3) * pi * r^2 * h = (1/3) * 3.1416 * 25 * 12 = 314.16. Option A is the closest.

AI explanation

Revolving the right angled triangle about its 12 cm side generates a right circular cone with a height of 12 cm and a base radius of 5 cm. The formula for the volume of a cone is 1/3 * pi * r^2 * h. Substituting the given values, the volume is 1/3 * (22/7) * 5^2 * 12, which equals 314.28 cubic cm.

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