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The volume of ice-cream in the cone is half the volume of the cone.
The cone has a 3 cm radius and height of 14 cm. What is the depth of
the ice-cream, correct to 2 decimal places?
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In this problem, there is no need to calculate volumes of the cones.
The cone volumes ratio is 2 (the greater to the smaller);
hence, from similarity of the cones, the ratio of heights (greater to smaller) is = 1.26 (rounded).
So, the depth of the ice-cream is = 11.11 cm. ANSWER
Solved, as simple and in a way as it should be done.
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By the way, the given radius of the greater cone of 3 cm is irrelevant.
This value is excessive, is not necessary, and the problem can be solved without it . . .
The answer to the question does not depend on the radius of the greater cone
and is the same for any other value of the radius of the greater cone.
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