Multiple choice

A solid right circular cone of height 8 cm and radius 6 cm is melted and right circular cylinders of height 2 cm and radius 4 cm are made The number of cylinder made will be

  1. 4

  2. 3

  3. 2

  4. 5
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume of cone = (1/3) * pi * 6^2 * 8 = 96 * pi. Volume of cylinder = pi * 4^2 * 2 = 32 * pi. Number of cylinders = 96 * pi / 32 * pi = 3.

AI explanation

The volume of a cone is given by the formula V = (1/3) * pi * r^2 * h, so the volume of the solid right circular cone is (1/3) * pi * 6^2 * 8 = 96*pi cubic cm. The volume of a cylinder is V = pi * r^2 * h, so the volume of one cylinder is pi * 4^2 * 2 = 32*pi cubic cm. The number of cylinders made is the total volume of the cone divided by the volume of one cylinder, which is 96*pi divided by 32*pi, giving exactly 3.

Keep practicing — related questions