Express the volume as a function of the height

Question

A conical cup is 9 inches high and its radius across the top is 2 inches. If the cup contains liquid, express the volume of the liquid as a function of the height of the liquid.

score 1 · Answer 1 · answered Aug 10 '15 at 15:14

1

Hint: if two solids are similar and their similarity ratio is $a$, then their volumes are in the ratio of $a^3$.

answered Aug 10 '15 at 15:14

Intelligenti pauca

50,470
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Hint: one of solids is fluid. And another one is (partially) hollow... – CiaPan Aug 10 '15 at 15:30

Sean · Accepted Answer · 2015-08-10T15:55:06.707

-1

Volume= $\pi \ \ r^{2} h/3$

So in your case, $ V= \pi \ (r^{2}) h/3$

$f(h) = 4 ( \pi) h/3$

edited Aug 10 '15 at 15:55

answered Aug 10 '15 at 15:22

Sean

740

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Was that liquid very alcoholic? – Intelligenti pauca Aug 10 '15 at 15:38

Express the volume as a function of the height

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