Mensurationhard · Past Paper

A conical flask has a base radius r and height h. It is filled with liquid which is then poured into a cylindrical flask of base radius mr. Find the height of the liquid in the cylinder.

Ah / (3m²)
Bh / 3m
Cm²h / 3
Dh / m²

✓ Correct Answer: Ah / (3m²)

Vol cone = 1/3πr²h. Vol cylinder = π(mr)²H. 1/3πr²h = πm²r²H. H = h / (3m²).

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