Multiple choice

If a solid cylindrical vessel of base radius 5 cm and height 10 cm be melted into a solid conical vessel of the same base and height then the number of such cones is

  1. 2

  2. 3

  3. 4

  4. 6
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume of cylinder = pi * r^2 * h = pi * 25 * 10 = 250pi. Volume of cone = 1/3 * pi * r^2 * h = 1/3 * pi * 25 * 10 = 250pi / 3. Number of cones = (250pi) / (250pi / 3) = 3.

AI explanation

The volume of a cylinder is (pi)(r^2)(h), while the volume of a cone with the same dimensions is (1/3)(pi)(r^2)(h). Dividing the cylinder volume by the cone volume shows that exactly 3 such cones can be formed.

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