A bucket is a frustum with top radius 18 cm, bottom radius 6 cm and height 15 cm…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A bucket is a frustum with top radius , bottom radius and height . It is full of water. All the water is poured into an empty cylindrical drum of radius . How deep is the water in the drum?
Need a reminder? The key ideaShow
A cone cut by a plane parallel to its base gives a small cone similar to the whole cone. If the small cone has the fraction of the height, it has of the curved surface and of the volume. One litre is . The volume of a melted solid is the same after it is recast.
The worked solution
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 water. .
Step 2. The drum's base. .
Step 3. The depth. .
Answer: the water is deep in the drum.
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