Some fun with geometry:

1) A rectangular container is 3/4 filled with oil. The length, width, and height of the container are in the ratio 7:5:3. If the length is 20 cm longer than its height, how much more oil can the container contain?

2) A circular pond 24 yards in diameter is surrounded by a gravel path 2 yards wide. The path is to be replaced by a brick walk costing $50 per square yard. How much will the walk cost?

3) Given two cylinders, one twice as wide but half as tall as the other, which one holds more?

4) An ice cream cone is filled with 300 cubic centimeters of ice cream. The cone has a radius of 5 cm and a height of 10 cm. If all the ice cream melts into the cone, would it spill over?

Submit solutions to the Questions/Comments/Solutions link at the top of the page.

Enjoy!