All Questions
Tagged with solid-of-revolution curves
5
questions
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282
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Find the volume generated by rotating the region bounded by 3 lines about the x-axis using the method of cylindrical shells
I've been solving problems on cylindrical shells and this is the formula the textbook has given me: $V=\int_a^b 2\pi xf(x)\:dx$, where $x$ is the radius of the shell.
I usually just figure out the ...
- 71
2
votes
1
answer
568
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Sphere parameterization from the general parameterization of a surface of revolution
I'm trying to derive the parameterization of a sphere from the general parametric equations for a surface of revolution. In particular, I read on wikipedia, that in general, to parameterize a rotating ...
- 183
-1
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2
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Volume of a Solid of Revolution?
Fairly quick question, but I'm a bit confused on whether or not the work I did was in any way right.
So the question went something like this:
"Find the volume if the region enclosing $y=x^3, x=0,$ ...
- 325
0
votes
1
answer
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Finding an alternate generating curve
Using $r(x) = \frac{(1-2x)}{3}$
my first generating curve is
$y^2 + z^2 = \left(\frac{1-2x}{3}\right)^2$
I'm stuck on finding another generating curve as $x^2$ cannot be isolated to make a ...
- 135
2
votes
1
answer
2k
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Surface Area of Revolution around y=x
Consider the curve $x=-t^2$ , $y=\frac{t^3}{3}-t+1$ , $t\in[0,1]$. Find the surface area obtained by revolving the curve about the line $y=x$.
On my textbook there are formulas to find the surface ...
- 169