Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A frustum has bottom radius , top radius and height . Find its slant height, and the height of the complete cone it was cut from.
A frustum has bottom radius , top radius and height . Its slant height is . The complete cone has height and slant height . The small cone cut off is similar to the complete cone, so .
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 slant height. .
Step 2. The complete cone. .
Check. The small cone has height . The ratio is the ratio of the radii .
Answer: and .
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