Question

triple integral (cylindrical) 0 to 2pi, 0 to 3, 0 to Z/3 of r^3 dr dz dtheta; I have did this several times but I cannot get the answer of 3pi/10 some one catch my mistake?

Answer 1

"some one catch my mistake?"

show what you have done and I'll point out any errors

Answer 2

int 0 to z/3 of r^3 dr= 1/4r^4 evaluated from 0 to z/3 = z^4/324 correct?

Answer 3

yes

Answer 4

int 0 to 3 of z^4/324=1/5z^5 evaluated from 0 to 3 (1/324 the constant)=243/324 or 3/4 correct?

Answer 5

I get 3/20

Answer 6

1/5 z^5 (1/324) yes?

Answer 7

yes

Answer 8

crap....i forgot to multiply by 1/5

Answer 9

yep

Answer 10

nice catch thanks

Answer 11

np