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1 vote
1 answer
363 views

Solid of revolution problem - clepsydra (water clock)

I need help to understand this problem: A clepsydra, or water clock, is a glass container with a small hole in the bottom through which water can flow. The "clock" is calibrated for ...
bdvg2302's user avatar
  • 1,159
0 votes
0 answers
31 views

Volume of Solids Generalized

I want to make sure I'm understanding this correctly. If a continuous, nonnegative function $f(x)$ on $[a,b]$ was revolved about some axis, where it grows by $x$ in $\Delta x$ intervals, then the rate ...
Lex_i's user avatar
  • 2,072
0 votes
1 answer
45 views

What is the maximum value of $H(r)=\frac{1}{3} \pi r^2\sqrt{l-r^2} $ when $l=7$?

What is the maximum value of $H(r)=\frac{1}{3} \pi r^2\sqrt{l-r^2} $ when $l=7$? I've computed the minima using derivative method,but I'm not able to calculate the maxima under the given condition... ...
Anwar's user avatar
  • 119