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aliina [53]
3 years ago
9

A cylindrical container of four rubber balls has a height of 20 centimeters and a diameter of 5 centimeters. Each ball in the co

ntainer has a radius of 2.5 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number.
Mathematics
1 answer:
Murljashka [212]3 years ago
8 0
The amount of space not occupied by the rubber balls is given by:
Volume=(volume of the container)-(volume of the rubber balls)
volume of the container is given by:
V=πr²h
V=π*(5/2)²(20)
V=392.70 cm³

Volume of each ball is:
V=4/3πr³
V=4/3π(2.5)³=65.45 cm³
volume of four balls
65.45×4=261.8 cm³

The volume of the container that is not occupied by the balls will be:
V=392.70-261.8
V=130.9 cm³
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