Chemist has an empty cylinder with a height of 30 cm and a cone shaped flask. The flask is the same height and a base that is the same size as the cylinders. Flask is filled with water which she pours into the cylinder. What height does the water fill the cylinder

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Mathematics

Riddle

8 April, 17:47

Chemist has an empty cylinder with a height of 30 cm and a cone shaped flask. The flask is the same height and a base that is the same size as the cylinders. Flask is filled with water which she pours into the cylinder. What height does the water fill the cylinder

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Karma Petty · Answer 1

It fills the cylinder up to 10 cm.

The volume of a cylinder is given by the formula

V = πr²h, where r is the radius of the base and h is the height of the cylinder.

The volume of a cone is given by the formula

V = 1/3πr²h, where r is the radius of the base and h is the height of the cylinder.

Since the base of the flask and the cylinder are the same, this means r is the same number in both formulas.

Since the height of the flask and the cylinder are the same, this means h is the same number in both formulas.

This means that the only difference in the formulas is that the formula for the cone flask is 1/3 the formula for the cylinder.

The water that fills the cone flask will fill 1/3 of the cylinder; 1/3 (30) = 10