Question

The base radius and height of a solid metal cylinder are 8 centimetres and 15 centimetres. By melting it and recasting, how many cones of base radius 6 centimetres and slant height 10 centimetres can be made ?

Hint:

In problems involving "melting and recasting", the fundamental principle is the conservation of volume. Always remember to calculate the perpendicular height of a cone if the slant height is given, as volume formulas use perpendicular height. Recognize Pythagorean triples like 3-4-5 (and its multiples like 6-8-10) to speed up calculations.

Answer 1