Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A jug is a frustum with top radius , bottom radius and height . Find the volume it holds in millilitres. How many full jugs can be filled from a can that holds litres?
The curved surface of a frustum is and the total surface is . The volume is . An open bucket has the curved surface and one circle.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The bracket. .
Step 2. The volume. , which is .
Step 3. The number of jugs. .
Step 4. Full jugs. Only whole jugs count, so jugs are filled completely.
Answer: each jug holds , and full jugs can be filled.
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