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Find the amount of water displaced by a solid spherical ball of diameter 4.2 cm, when it is completely immersed in water.

Question

Find the amount of water displaced by a solid spherical ball of diameter 4.2 cm,

when it is completely immersed in water.

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Solution

To find the amount of water displaced by a solid spherical ball when it is completely immersed in water, we need to calculate the volume of the ball. The volume of a sphere is given by the formula:

V = 4/3 * π * r³

where r is the radius of the sphere. The radius is half of the diameter, so for a sphere with a diameter of 4.2 cm, the radius is 4.2 / 2 = 2.1 cm.

Substituting the radius into the formula gives:

V = 4/3 * π * (2.1)³

Calculating this gives approximately 38.792 cm³.

Therefore, when the ball is completely immersed in water, it displaces approximately 38.792 cm³ of water.

This problem has been solved

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