Multiple choice

The volume of a conical solid is 1232 cm3. If the height of the solid is 7 cm, find the approximate radius of the solid.

  1. 10 cm

  2. 13 cm

  3. 28 cm

  4. 25 cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume of a cone = (1/3) * pi * r^2 * h. Given 1232 = (1/3) * (22/7) * r^2 * 7. Solving for r^2 gives 1232 * 3 / 22 = 168, so r is approximately 13.

AI explanation

Using the volume of a cone formula, V = (1/3) times pi times r squared times h, we substitute the given values to get 1232 = (1/3) times (22/7) times r squared times 7. This simplifies to 1232 = (22/3) times r squared, making r squared equal to 168. Taking the square root of 168 gives an approximate radius of 13 cm.

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