Express the volume as a function of the height

4,046

Solution 1

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

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

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

Solution 2

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

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Christian
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Updated on July 22, 2022

Comments

  • Christian
    Christian over 1 year

    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.

  • CiaPan
    CiaPan over 8 years
    Hint: one of solids is fluid. And another one is (partially) hollow...
  • Intelligenti pauca
    Intelligenti pauca over 8 years
    Was that liquid very alcoholic?