Calculate the volume of a solid (pt 2)

Jan 2017
25
0
Canada
Hey sorry I know I just recently asked about this but there's another question I am having issues with. I am unsure how to proceed with 2.c) from the following picture and I have included the work I have so far (not sure how correct it is though. Thanks in advance!14962537189111348717898.jpg1496253768037-1022816221.jpg
 

skeeter

MHF Helper
Jun 2008
16,217
6,765
North Texas
region bounded by $y=1-x^2$ and $y=0$, rotated about the x-axis ...

disk method ...

$\displaystyle V = \pi \int_{-1}^1 (1-x^2)^2 \, dx$

taking advantage of symmetry ...

$\displaystyle V = 2\pi \int_0^1 (1-x^2)^2 \, dx$