Find the volume V of the described solid S. The base of S is a circular disk with a radius 5r. Parallel cross-sections perpendicular to the base are squares

Question

shamil98 · Answer

Do you have a picture of the figure? This isn't much to go on..

anonymous · Answer

there is no picture

anonymous · Answer

first off what do you think it is a cylinder perhaps

loser66 · Answer

with the height = 10r

loser66 · Answer

|dw:1402715895893:dw|

jim766 · Answer

very nice

loser66 · Answer

so, just apply the formula to get V

tkhunny · Answer

Not quite the idea, I think.

Let's put the circle on an x-y coordinate plane, centered on (0,0).

$x^{2} + y^{2} = (5r)^{2}$

Then we build squares all along the circle.  The drawing has only the central circle.  The get smaller as you wander from the Origin.

$2\cdot\int\limits_{0}^{5r}(2y)^{2}\;dx$

That's more like it.

tkhunny · Answer

* Whoops.  The drawing has only the central SQUARE.

Sorry about that.

mathmale · Answer

See the attached image for more drawings.