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