Originally Posted by
HMV I was able to work it out and got V=8.
not correct. how did you get V = 8?
For semicircles, did i work it correctly?
y=(4-x^2)^(1/2)
A(x)=(pi r^2)/2
r=2(4-x^2)^(1/2)
V= Integral pi((4-x^2)^2)dx Limits [-2,2]= 32pi/3
you got double the correct volume ... r = (4-x^2)^(1/2)
note that it's much easier if you realized that it's just the volume of a hemisphere of radius 2 ...
V = (2/3)pi*2^3 = 16pi/3