in all cases below marks will only be awarded for exact answers no mar

Question

In all cases below marks will only be awarded for exact answers. No marks will be awarded for decimal approximations. a. Let T be the cylinder æ2 + y2 < 9,0 <z< 2.Given that \iiint_{\tau} \frac{10 z}{x^{2}+y^{2}+1} \mathrm{~d} V=A \pi \ln (10) enter the value of A.
b. Now let be the hemisphere a + y² + z2 <1, z > 0.Given that \iiint_{\psi} z \mathrm{~d} V=B \pi enter the value of B.