# Calculating Volume of Space Within Cylinder Not Taken Up by Tennis Balls

What is the amount of space within the cylinder not taken up by the three tennis balls stored in it?

The volume of the space within the cylinder not taken up by the tennis balls is approximately 72.62 cubic inches.

## Calculating the Volume of the Space Within the Cylinder Not Taken Up by the Tennis Balls

- The height of the cylindrical container is 8 inches
- The radius of the cylindrical container is 1.43 inches
- The circumference of a tennis ball is 8 inches

**V_cylinder = π × r² × h**Substituting the given values, we get:

**V_cylinder = π × (1.43 inches)² × 8 inches**Next, we need to calculate the volume of a single tennis ball. The formula to find the volume of a sphere is:

**V_sphere = (4/3) × π × r³**Using the given information that the circumference of a tennis ball is 8 inches, we find the radius (r_ball) to be approximately 1.2732 inches. We can then calculate the volume of a single tennis ball:

**V_ball = (4/3) × π × (1.2732 inches)³**To find the total volume occupied by the three tennis balls, we multiply the volume of a single tennis ball by 3:

**V_total_balls = 3 × V_ball**Finally, the volume of the space within the cylinder not taken up by the tennis balls can be calculated as:

**V_space = V_cylinder - V_total_balls**By substituting the calculated values into the formula, we arrive at the answer to the nearest hundredth, which is approximately 72.62 cubic inches.