Practical Mathematics for Grade 11, Problem ID: 5312

Practical Mathematics K11Sasha is learning about Archimedes at school. His show-off sister is 3 years older than him and sets him a problem:

A water butt is filled to the brim with water and then tilted to a 30° angle relative to the horizontal. A football has a lead weight sealed inside, but not fixed in position. The combined weight of the ball and weight is 330g. The ball floats to a depth of 1.2 inches.

Knowing the rough size of a football, estimate how much water spills out of the butt when the ball is lowered into the water gently.

Author : Leslie Green


1 quart1/3 liter0.29 liters1 gallon