Multiple choice

The volume of a cone is 3080 cm3 and its height is 15 cm. Find the radius of the cone.

  1. 7 cm

  2. 14 cm

  3. 28 cm

  4. 54 cm

  5. 196 cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume = 1/3 * pi * r^2 * h = 3080. 1/3 * (22/7) * r^2 * 15 = 3080. 110/7 * r^2 = 3080. r^2 = 3080 * 7 / 110 = 28 * 7 = 196. r = 14.

AI explanation

Using the formula for the volume of a cone, we write 3080 = one third times pi times radius squared times height. Substituting the values gives 3080 = one third times 22 over 7 times radius squared times 15. Solving for radius squared yields 196, so the radius is the square root of 196, which is 14 cm. The correct answer is 14 cm.

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