# geometry

posted by kirk

A cylindrical beaker has a height of 5 inches and a volume of 63 cubic inches. A scientist pours a chemical from the beaker to a similar beaker with a height that is 100% greater.

What is the volume of the larger beaker?

1. Mark

The volume of the larger beaker would be 504 inches cubed.

2. Mark

I should clarify how to solve the problem. We start with V = pi r^2 h.
Solve for r^2; 63 = pi r^2 5. First divide by pi and then by 5. Get the square root of your answer (4.0107) to get the radius of 2.002674. Next we increase everything by 100% and use a height of 10 and a radius of 4.005348. Using the equation above and you will get the volume of 503.9998 or 504.

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