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 th

Question

4 years ago

11

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 th

e same size as the cylinders. Flask is filled with water which she pours into the cylinder. What height does the water fill the cylinder

Mathematics

2 answers:

Oxana [17] · Answer 1 · 2022-01-15T11:08:10+03:00

Oxana [17]4 years ago

4 0

Answer:

The correct answer is 10 centimeters

Step-by-step explanation:

Nookie1986 [14] · Answer 2 · 2022-01-15T09:54:19+03:00

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