Question

A cylinder shaped container is used to hold watef . This cylinder has a height of 12 inches and a diameter of 7 inches . A spherical ball with a diameter of 6 inches is dropped into the container . Explain how the ball changes the volhme of the water the container can hold and calculate the amount of water the cylinder can hold after the ball is dropped into the cylinder . Let pi = 3.14

Answer 1

423.9 inches³

Explanation:

First we will calculate the volume of the cylinder using the formula

Vc = hπr²

Vc = 12π(3.5)² [radius is 1/2 diameter]

Vc = 147π

Next we calculate the volume of the sphere using 4/3*πr³

Vs = 4/3 πr³

Vs = 4/3π3³

Vs = 12π

Finally, we subtract the volume of the cylinder by the volume of the sphere to get the remaining volume in the cylinder that can be filled with water.

147π - 12π = 135π

Using the approximate 3.14, the answer is 423.9 inches³