Question 273139
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The volume of a sphere of radius *[tex \Large r] is given by:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ V_{sph}\ =\ \frac{4}{3}\pi r^3]


Each hemisphere is half of that volume, but you have two hemispheres, so you have one whole sphere.


The volume of a cylinder with radius *[tex \Large r] and length *[tex \Large l] is:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ V_{cyl}\ =\ \pi r^2l]


The total volume is the sum of the two:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ V(r,l)\ =\ \frac{4}{3}\pi r^3\ +\ \pi r^2l]


Which can be left as it is or manipulated as desired.  I would use:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ V(r,l)\ =\ \pi r^2\left(\frac{4}{3}r\ +\ l\right)]


or perhaps


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ V(r,l)\ =\ \frac{\pi r^2}{3}\left(4r\ +\ 3l\right)]



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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