A liquid with a volume of 5000 cm3 was poured into a cylinder 24 cm high to a level of 8 cm. What is the volume of the remaining part of the cylinder?
The volume of a cylinder is equal to the product of its height and the area of the base. The part of the cylinder filled with liquid has a volume of 5000 cm3 and corresponds to a height of 8 cm. We can find the area of the base of the cylinder: Sbn = 5000/8 = 625 cm2.
The volume of the unfilled part of the cylinder is found as the product of the base area by the difference in the heights of the cylinder and its filled part: V = Sbase * (H-h) = 625 * (24-8) = 625 * 16 = 10,000 cm3.
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