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A graduated cylinder is filled with 36\pi36π36, pi cm^3 3 start superscript, 3, end superscript of liquid. The liquid is poured into a different cylinder that has a radius of 333 cm. What will the height of the liquid be in the new cylinder?

2 Answers

4 votes

Answer:

4 cm

Step-by-step explanation: Hope I was helpful!

User Jquintana
by
5.7k points
5 votes
By definition, the volume of a cylinder is given by:
V = π * r ^ 2 * h
Where,
r: cylinder radius
h: height
Clearing h we have:
h = (V) / (π * r ^ 2)
Substituting values:
h = (36π) / (π * 3 ^ 2)
h = (36π) / (9π)
h = (36π) / (9π)
h = 4 cm
Answer:
The height of the liquid will be in the new cylinder about:
h = 4 cm
User Eirik
by
4.6k points