Question

how to solve the triple integral using cartesian coordinates for upper hemisphere of radius R

Answer 1

\[\int\limits_{-1}^{1}\int\limits_{-\sqrt{1-y^2}}^{\sqrt{1-y^2}}\int\limits_{0}^{\sqrt{1-y^2-x^2}}dzdydx\]

Answer 2

why 1 ? is it suppose to be R? can you solve it? this is not solving the question.

Answer 3

i am sorry 1 should be r

Answer 4

ok?

Answer 5

im stuck after i integrate z. help me

Answer 6

help me!

Answer 7

i already got it.