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.

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6

Fig: 7

Fig: 8