Finding Volume of Tennis Balls and Cylinder

Calculating Volumes

Tennis balls with a 3-inch diameter are sold in cans of three. The can is a cylinder. Round your answers to the nearest hundredth.

What is the volume of one tennis ball?

The volume of one tennis ball can be found using the formula for the volume of a sphere. Since the diameter is given as 3 inches, the radius is 1.5 inches or 1.5/12 feet. Substituting this value into the formula V = (4/3)πr³ will give you the volume of one tennis ball.

What is the volume of the cylinder?

The volume of the cylinder can be found by calculating the area of the base (the top or bottom of the can) and multiplying it by the height.

What is the volume of the space not occupied by the tennis balls?

The volume of the space not occupied by the tennis balls can be found by subtracting the sum of the volumes of the tennis balls from the volume of the cylinder.

Final answer: Explanation: To find the volume of one tennis ball, we need to calculate the volume of a sphere using the formula V = (4/3)πr³. To find the volume of the cylinder, we need to calculate the area of the base (the top or bottom of the can) and multiply it by the height. To find the volume of the space not occupied by the tennis balls, we need to subtract the sum of the volumes of the three tennis balls from the volume of the cylinder.

Questions:

1. What is the formula for finding the volume of a sphere?

2. How can we calculate the volume of the cylinder?

3. What is the approach to finding the volume of the space not occupied by the tennis balls?

Answers:

1. The formula for finding the volume of a sphere is V = (4/3)πr³.

2. The volume of the cylinder can be calculated by finding the area of the base (the top or bottom of the can) and multiplying it by the height.

3. To find the volume of the space not occupied by the tennis balls, subtract the sum of the volumes of the tennis balls from the volume of the cylinder.