Multiple choice

The volume and the radius of a cone are 616 m3 and 7 m respectively. Find the height of the cone.

  1. 28 m

  2. 42 m

  3. 12 m

  4. 21 m
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Volume of cone = (1/3) * pi * r^2 * h. 616 = (1/3) * (22/7) * 7^2 * h. 616 = (1/3) * 22 * 7 * h. 616 = (154/3) * h. h = 616 * 3 / 154 = 4 * 3 = 12.

AI explanation

The volume of a cone is given by the formula (1/3) pi r^2 h. Substituting the known values results in 616 = (1/3) multiplied by (22/7) multiplied by 7 squared multiplied by h. This simplifies to 616 = (154/3)h, and solving for h gives a height of 12 m.

Keep practicing — related questions