Water was poured into a cylindrical vessel to a level of 75 cm. What level will the water reach if it is poured

| March 20, 2021 | education

Water was poured into a cylindrical vessel to a level of 75 cm. What level will the water reach if it is poured into another cylindrical vessel, whose base radius is 5 times greater than that of the first?

The water contained in a cylindrical vessel has the shape of a cylinder 75 cm high.The volume of the cylinder is calculated by the formula:

V = π * R ^ 2 * h, where R is the radius of the base of the cylinder, h is the height of the cylinder.

When water is poured into another cylindrical vessel, the water also takes the shape of a cylinder. The radius of the second cylinder is 5R. Let’s designate the required height of the water column as N. Since the initial volume of water does not change, then:

π * R ^ 2 * h = π * (5R) ^ 2 * H;

R ^ 2 * h = 5R ^ 2 * H;

H = h / 25 = 75/25 = 5 (cm).

Answer: 5 cm.



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