SHELL METHOD

[Ryan Rigdon]

i posted this problem earlier but deleted it. i did it again and i am confident that this time its right. what do you think.

 

[Ryan Rigdon]

i just turned in my quiz and got the above problem correct. and scored a 100 on my quiz.

 

[BigGlenntheHeavy]

$\displaystyle Disc: \ Revolved \ around \ x \ = \ 0 \ (y-axis).$

$\displaystyle \pi\int_{0}^{1}[((y+9)/10)^2-(y^2)^2]dy+\pi\int_{-9}^{0}[(y+9)/10]^2dy \ = \ \frac{47\pi}{15}$

$\displaystyle Shell: \ Revolved \ around \ x \ = \ 0 \ (y-axis).$

$\displaystyle 2\pi\int_{0}^{1}x[x^{1/2}-(10x-9)]dx \ = \ \frac{47\pi}{15}$