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.
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.
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