V = pi/3 (x^2 + y^2 + xy)z

=> V= pi/3 (zx^2 + zy^2 + xyz)

=> dV/dt = pi/3 (x^2 dz/dt + 2xz dx/dt + y^2 dz/dt + 2yz dy/dt + xy dz/dt + zy dx/dt + xz dy/dt)

=> dV/dt = pi/3 [(2xz + zy)dx/dt + (2yz + xz)dy/dt + (x^2 + y^2 + xy)dz/dt]

When x = 10, y =16, z =8, dx/dt = 2 dy/dt = 3 and dz/dt = 1.5

=> dV/dt = pi/3 {[2(10)(8) + (8)(16)](2) + [2(16)(8) + (10)(8)](3) + [(100) + (256) + (10)(16)](1.5)}

=> dV/dt = pi/3 (576 + 1008 + 774)

=> dV/dt = pi/3 (2358)

=> dV/dt = 786 pi

You were right! (Unless, of course, we're both wrong)