Volume Calculation for Tennis Balls in a Cylinder

How can we calculate the space in the cylinder not taken up by the tennis balls?

The space in the cylinder not taken up by the tennis balls can be calculated by subtracting the volume of the balls from the total volume of the cylinder.

Calculation Method:

To calculate the space in the cylinder not taken up by the tennis balls, we need to find the volume of the balls and the volume of the cylinder. Here is the step-by-step calculation:

Volume of one tennis ball

The diameter of the ball is 6.7 cm, so the radius would be 3.35 cm. Using the formula for the volume of a sphere, V = (4/3)πr³, where π is approximately 3.14, we can calculate the volume of one ball. Substitute the radius value into the formula: V = (4/3)π(3.35)³. Calculate the volume using the formula, which will give you the volume of one ball.

Volume of three tennis balls

Since the question states that the cylinder holds three tennis balls, we need to find the volume of three balls. Multiply the volume of one ball by 3 to get the total volume of the three balls.

Volume of the cylinder

The diameter of the cylinder is also given as 6.7 cm, which means the radius of the cylinder is 3.35 cm. The formula to calculate the volume of a cylinder is V = πr²h, where r is the radius and h is the height of the cylinder. In this case, the cylinder is filled to the top with the balls, so the height of the cylinder would be equal to the sum of the diameters of the three balls.