Multiple choice

A right circular cone has height 6 centimeters and volume 32π cubic centimeters. Quantity A Quantity B Radius of the base of the cone 6.25 centimeters

  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be determined from the information given.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume = (1/3) * pi * r^2 * h = 32pi. (1/3) * r^2 * 6 = 32. 2 * r^2 = 32. r^2 = 16. r = 4. Quantity A is 4, Quantity B is 6.25. So B is greater.

AI explanation

Using the volume of a cone formula, V equals one third times pi times r squared times h, we have 32 times pi equals one third times pi times r squared times 6. Solving for r squared gives 16, so the radius is 4 centimeters. Since 4 centimeters is less than 6.25 centimeters, Quantity B is greater.

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