When finding the work done to empty a sphere shaped tank, what equation do you use for the area?
Do you treat the sphere as a circle and use pi x r^2? Or as a sphere and find the volume
2007-02-11 16:42:49 · 3 answers · asked by surfergrl145 2 in Science & Mathematics ➔ Mathematics
I hate to be negative but shouldn't you do your own homework or test answers?
2007-02-11 16:52:39 · answer #1 · answered by lag_time2 5 · 0⤊ 0⤋
to empty a tank just drill a hole in the bottom; it’ll spurt itself!
2007-02-11 17:20:11 · answer #2 · answered by Anonymous · 0⤊ 0⤋
r = (R^2 - (R - h)^2)^(1/2)
r = (R^2 - (R^2 - 2hR + h^2))^(1/2)
r = (R^2 - R^2 + 2hR - h^2))^(1/2)
r = (2hR - h^2))^(1/2)
A = Ïr^2 = Ï(2Rh - h^2)
dV/dh = A = Ï(2Rh - h^2)
V = Ïâ«(2Rh - h^2)dh
V = Ïh^2(2R - (1/3)h)
V = (1/3)Ï(6R - h)h^2
2007-02-11 17:25:57 · answer #3 · answered by Helmut 7 · 0⤊ 0⤋