Multiple choice

A right circular cylinder has a radius of 5 centimeters and a height of 10 centimeters. Quantity A The volume of the cylinder (Use π = 3.14) Quantity B 800 cubic 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

The volume of a cylinder is pi * r^2 * h. Using r = 5, h = 10, and pi = 3.14, the volume is 3.14 * 25 * 10 = 785 cubic centimeters. Since 785 < 800, Quantity B is greater.

AI explanation

Using the formula for the volume of a right circular cylinder, V equals pi times the square of the radius times the height. We substitute the given values to get 3.14 times 5 squared times 10, which equals 3.14 times 25 times 10, resulting in 785 cubic centimeters. Comparing this to quantity B, which is 800 cubic centimeters, we find that quantity B is greater.