The height HCM of a certain volume of water in the cylinder is inversely proportional to the square of the cross-sectional area of the cylinder To find the functional relationship between H and s (2) When 1cm cubic water is dropped into the measuring cylinder with 1cm square and 5cm square cross-sectional area, what is the height of liquid level in the measuring cylinder (3) From (2), which of several measuring cylinders with the same volume of water but different cross-sectional area is more convenient for reading?

The height HCM of a certain volume of water in the cylinder is inversely proportional to the square of the cross-sectional area of the cylinder To find the functional relationship between H and s (2) When 1cm cubic water is dropped into the measuring cylinder with 1cm square and 5cm square cross-sectional area, what is the height of liquid level in the measuring cylinder (3) From (2), which of several measuring cylinders with the same volume of water but different cross-sectional area is more convenient for reading?

(1) When s = 1cm square, H = 1 / 1 = 1, when s = 5cm square, H = 1 / 5 = 0.2, so when 1cm cubic water drops into the measuring cylinder with 1cm square and 5cm square cross-sectional area, the height of liquid level in the measuring cylinder is 1cm and 0.2cm respectively

A cylindrical container containing water has a bottom inner radius of 5cm, a depth of 20cm, and a water depth of 15cm. Now put an iron cylinder with a bottom radius of 2cm and a height of 17cm into the container vertically, and find out the depth of the container?

If the cylinder can be completely immersed in water, the product of the water depth and the bottom area of the container should be equal to the sum of the volume of the original water and the volume of the cylinder in water, so the water depth is (5 × 5 × 3.14 + 2 × 3.14 × 17) / (5 × 5 × 3.14) = 15 + 17 × 0.16 = 17.72 (CM) > 17 cm

A cylindrical container containing water has a bottom inner radius of 5cm, a depth of 20cm, and a water depth of 15cm. Now put an iron cylinder with a bottom radius of 2cm and a height of 17cm into the container. How many cm is the water depth of the container? Explain

The bottom area of the container is calculated as
5X5X3.14=78.5
The volume of iron cylinder is 2x2x3.14x17 = 213.52
Water increased 213.52 △ 78.5 = 2.72cm
At this time, the water depth is 15 + 2.72 = 17.72cm
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