Question

I need help with a specific case of problem.

Answer 1

Can someone give me an example of a problem where there will be there will be a (number-h) and a (number-r) when doing the shells method?

Answer 2

I have trouble recognizing the height and radius.

Answer 3

try here please

https://online.math.uh.edu/Math1431/HelpFiles/Section6.3/CylPract/CylPract.html

Answer 4

or try this
\[\large\rm y=2\cos(x)\]
rotation y=-2
shell method

Answer 5

Can you guys set up the formula formula (Integration) for me?

Answer 6

\[\large\rm \int\limits_{ }^{} 2 \pi rh ~(thicknes)\]\[\large\rm \int\limits_{ }^{} 2 \pi (2+y)(x) ~dy\]
need to solve the function for x
y=2cos(x)
\[\cos(x)= \frac{y}{2}\]
\[x=\cos^{-1}(\frac{y}{2})\]
\[\large\rm \int\limits_{ }^{} 2 \pi (2+y)(cos^{-1}(y/2) ) dy \]
since it's horizontal integration we need f(a) and f(b) for limits
y=2cos(0)= 2
y=2cos(pi/2)= 0
so integrate from 0 to 2

did you get the samething ?? :D