Answer:
Option B) 15.46 inch³
Explanation:
A cylindrical container contains three tennis balls.These balls touch the sides of the container and the top and the bottom with no gaps.
Therefore radius and height of the cylindrical container will be decided by the radius of single tennis ball and total of diameters of the balls respectively.
To be more clear radius of the container = radius of the ball = 2.7/2 = 1.35 inches
Height of the container = 3× diameter of a ball = 3×2.7 = 8.1 inches
Now wasted space in the container = volume of container - 3×volume of a ball
volume of the cylindrical container = π×r²×h = 3.14 × (1.35)²×(8.1) = 46.36 inch³
Volume of a ball = (4/3)×π×r³ = (4/3)×3.14×(1.35)³ = 10.30 inch³
Wasted space = 46.36 - 3×(10.30) = 46.36 - 30.90 = 15.46 inch³
Option B is the answer.