Agraduated cylinder is filled with 36π of liquid. the liquid is poured into a different cylinder that has a radius of 3 cm. what will the height of the liquid be in the new cylinder?

The height of the liquid in the new cylinder = 4 cm

Step-by-step explanation:

∵ The volume of the liquid = 36π cm³

∵ It poured into a cylinder that has radius 3 cm

∵ The volume of any cylinder = πr²h

∴ The volume of the liquid in the cylinder = π(3)²h = 9πh

- Where h is the height of the liquid inside the cylinder

∴ 9πh = 36π ⇒ divide both sides by π

∴ 9h = 36 ⇒ h = 36/9

∴ h = 4 cm

∴ The height of the liquid in the new cylinder = 4 cm