A graduated cylinder is filled with 36\pi36π36, pi cm^3 3 start superscript, 3, end superscript of liquid. The liquid is poured

Question

Oxana [17]

2 years ago

15

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?

Mathematics

2 answers:

Margarita [4] · Answer 1 · 2022-08-10T16:27:27+03:00

Margarita [4]2 years ago

8 0

Answer:

4 cm

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

lilavasa [31] · Answer 2 · 2022-08-10T15:17:10+03:00

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