so removing the parts that started turning into volume without integration, there's:
triangle_area = 1/2 r_slice^2 dtheta r_slice = sqrt(r_sphere^2 - x^2) then we can write wedge volume wedge_volume = integral(triangle_area, x=-r_sphere..+r_sphere)
Undescribed Horrific Abuse, One Victim & Survivor of Many Tue, 01 Aug 2023 04:37:29 -0700
so removing the parts that started turning into volume without integration, there's:
triangle_area = 1/2 r_slice^2 dtheta r_slice = sqrt(r_sphere^2 - x^2) then we can write wedge volume wedge_volume = integral(triangle_area, x=-r_sphere..+r_sphere)