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PilotLPTM [1.2K]
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]4 years ago
4 0

Answer:

The correct answer is 10 centimeters

Step-by-step explanation:

Nookie1986 [14]4 years ago
3 0
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 
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Answer:

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Step-by-step explanation:

Given in the question,

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TiliK225 [7]
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