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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
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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?

User Stoyan
by
5.2k points

1 Answer

3 votes
The height will be 4 cm.

Step-by-step explanation
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
User ParmesanCodice
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