Strange Containers An Investigation

Strange Containers The diagram shows an open cylindrical tube which sits on top of a cuboid. A liquid is poured into the top of the tube as shown. The liquid will fill the cuboid at the bottom before filling up the tube. It was the intention to put markers on the container to show when the container would be a) ¼ full b) ½ full c) ¾ full. Unfortunately these markings have been missed out on the diagram. d=4cm 2cm 12cm Water in 12cm 20cm

Perform calculations and show clearly exactly where these markings should go on the diagram. The volume of a cylinder is given by d=4cm 2cm 12cm Water in 12cm 20cm

Repeat the calculations for the containers in the following examples. On each diagram mark the ¼, ½ and ¾ full positions on the container. Container 2. Container 3. Water in 4cm 5cm 12cm 10cm water in 4cm 2cm 20cm 4cm 10cm

Strange Containers:- Solution Container 1 ¼ mark is 0.94 cm from the ground ½ mark is 1.87 cm from the ground ¾ mark is 11.3 cm from the ground Container 2 ¼ mark is 1.75 cm from the ground ½ mark is 3.50 cm from the ground ¾ mark is 9.01 cm from the ground Container 3 ¼ mark is 1.52 cm from the ground ½ mark is 7.09 cm from the ground ¾ mark is 14.5 cm from the ground