Multiple choice

Find the volume of a cylinder, whose radius is half of the radius of a circle having area 2464 cm2. Height of the cylinder is equal to the radius of the circle?

  1. 21452 cm3

  2. 25786 cm3

  3. 15344 cm3

  4. 17248 cm3

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Area of circle = pi * r^2 = 2464. r^2 = 2464 * 7 / 22 = 784. r = 28. Cylinder radius = 28/2 = 14. Cylinder height = 28. Volume = pi * r^2 * h = (22/7) * 14 * 14 * 28 = 17248.

AI explanation

Using the area of a circle formula, pi times radius squared equals 2464, so the radius is 28 cm. The cylinder has half that radius, which is 14 cm, and its height is the original radius of 28 cm. Using the volume of a cylinder formula, the volume is pi times 14 squared times 28, equaling 17248 cubic centimeters. The volume is 17248 cubic centimeters.

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