The volume of each tennis ball can be calculated using the formula for the volume of a sphere: V = (4/3) * π * r^3 where r is the radius of the tennis ball.
V = (4/3) * 3.14 * (2.5)^3
V = (4/3) * 3.14 * 15.625
V = 62.5 * 3.14
V = 196.25 in^3
Since there are a dozen tennis balls in the container, the total volume taken up by the tennis balls is:
12 * 196.25 = 2355 in^3
Therefore, the space in the container that is empty is:
3200 - 2355 = 845 in^3
Therefore, about 845 in^3 space in the container is empty.
The volume of a container measures 3,200 in.3 and contains a dozen tennis balls. Each tennis ball has a radius of 2.5 in. How much space in the container is empty? Use 3.14 as an approximation for pi. Round to the nearest whole number, if necessary.(1 point)
___in^3
3 answers
your wong
I apologize for the error in my previous response. Let's correct it.
The volume of each tennis ball can be calculated using the formula for the volume of a sphere:
V = (4/3) * π * r^3
V = (4/3) * 3.14 * (2.5)^3
V = (4/3) * 3.14 * 15.625
V = 20.8333 in^3
Since there are a dozen tennis balls in the container, the total volume taken up by the tennis balls is:
12 * 20.8333 = 250 in^3
Therefore, the space in the container that is empty is:
3200 - 250 = 2950 in^3
Therefore, about 2950 in^3 space in the container is empty.
The volume of each tennis ball can be calculated using the formula for the volume of a sphere:
V = (4/3) * π * r^3
V = (4/3) * 3.14 * (2.5)^3
V = (4/3) * 3.14 * 15.625
V = 20.8333 in^3
Since there are a dozen tennis balls in the container, the total volume taken up by the tennis balls is:
12 * 20.8333 = 250 in^3
Therefore, the space in the container that is empty is:
3200 - 250 = 2950 in^3
Therefore, about 2950 in^3 space in the container is empty.