Marcellus and Albert were working out at the Geometrically-Ideal
Super Gym where all the dumbbells were constructed according to
the model shown below.
- Find the volume of the dumbbell pictured above.
- Suppose that they needed a dumbbell suitable for bench pressing
200 pounds and $h=4 \text{feet}$, what should the density of the material
used to make the dumbbell be?
- Ramiro joins the group and wants to sketch funny pictures on the
dumbbells, how much drawing space does he have on the dumbbell shown above?
Tags: volume-of-revolution, surface-of-revolution, physics-application, geometry, composite, root, multistep, computation, v--a, t3, c2
Hmm. I don’t know where the picture went (it wasn’t in the original TeX file, so it must have been cut and pasted by hand). Presumably it’s a shape that’s a simple function revolved around the x-axis. –
Eric Hsu 2008-07-12 21:28