Lee Zhi Xian's answer to Awan's 5 Integration United Kingdom question.
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
First we use the spherical coordinate system to express an infinitesimal mass as density at a point, multiplied by the infinitesimal volume at that point. Then we convert the density into its spherical coordinates form. Then we perform the integration using appropriate limits bearing in mind we are only finding the mass of a hemisphere. Then we multiply the final answer by 2 to get the entire mass (by symmetry)
Date Posted:
6 years ago