The volume of each tennis ball can be calculated using the formula for the volume of a sphere: V = (4/3)πr^3, where r is the radius of the tennis ball.
Given that the radius of each tennis ball is 2.5 inches, the volume of each tennis ball is:
V = (4/3) * 3.14 * (2.5^3) = 4.19 * 15.625 = 65.35 in.^3 (approx.)
Since there are a dozen tennis balls, the total volume occupied by the tennis balls is:
65.35 * 12 = 784.2 in.^3 (approx.)
To find the volume of the empty space in the container, we deduct the volume occupied by the tennis balls from the volume of the container:
3200 - 784.2 = 2415.8 in.^3 (approx.)
Therefore, the container is empty with approximately 2415.8 in.^3 of space remaining.
The volume of a container measures 3200 in.^3 and contains a dozen tennis balls. Each tennis ball has a radius of 2.5 inches. How much space is the container empty. Use 3.14 as an approximation for pi
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