In this problem, we will find the volume of the ellipsoid given by 1 25 49 16 we will do this by making a change of variables to convert the ellipsoid to the unit sphere in the new variables (u, v, w). a change of variables that will do this is:
x = 7 u.
y = 4 v
z = 5 w.
volume = 140
hint: the volume of the unit ball x2 y2 + z2 = 1 is 3