Multiple choice

Quantity A The volume of a sphere with radius 4 centimeters Quantity B The volume of a cylinder with height 8 centimeters and base radius 2 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
A Correct answer
Explanation

Volume A = 4/3 * pi * 4^3 = 256/3 * pi = 85.33 * pi. Volume B = pi * 2^2 * 8 = 32 * pi. Volume A is clearly greater.

AI explanation

The volume of a sphere is found using the formula 4/3 times pi times the radius cubed, giving 4/3 times pi times 4 cubed, which equals 256/3 times pi. The volume of a cylinder is pi times the radius squared times the height, giving pi times 2 squared times 8, which equals 32 times pi. Comparing 256/3 pi (approximately 85.3 pi) to 32 pi shows that quantity A is greater.

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