You are a competitive swimmer, and your coach wants you to swim a lap of the pool backstroke with a soda can balanced on your forehead. He gives you an empty soda can and you can add some water to it if that will make your task easier.

How much water should you place in the can so that the center of gravity of the water-plus-can is as low as possible?

Assume the can is a perfect cylinder with a top and bottom made of the same material as the sides. The density of water is 1 gram/centimeter³. Let H be the height of the cylinder and r its radius, and let the mass of the can be C grams.

## Question

## BMAD

You are a competitive swimmer, and your coach wants you to swim a lap of the pool backstroke with a soda can balanced on your forehead. He gives you an empty soda can and you can add some water to it if that will make your task easier.

How much water should you place in the can so that the center of gravity of the water-plus-can is as low as possible?

Assume the can is a perfect cylinder with a top and bottom made of the same material as the sides. The density of water is 1 gram/centimeter³. Let H be the height of the cylinder and r its radius, and let the mass of the can be C grams.

## Link to comment

## Share on other sites

## 4 answers to this question

## Recommended Posts

## Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.