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

Question

stealth61 [152]

3 years ago

7

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

1 answer:

barxatty [35] · Answer 1 · 2022-06-07T17:53:05+03:00

barxatty [35]3 years ago

8 0

The height will be 4 cm.

Explanation
<u />The volume of a cylinder is given by the formula V=πr²h. For a volume of 36π cm³ and a radius of 3 cm,

36π = π(3²)h
36π = 9πh

Divide both sides by 9π:
36π/9π = 9πh/9π
4 = h