Let H be the hemisphere x2 + y2 + z2 = 66, z ≥ 0, and suppose f
is a continuous function with f(4, 5, 5) = 5, f(4, −5, 5) = 11,
f(−4, 5, 5) = 12, and f(−4, −5, 5) = 15. By dividing H into four
patches, estimate the value below. (Round your answer to the
nearest whole number.) H f(x, y, z) dS