1. Use cylindrical coordinates to evaluate {image} where E is the solid that lies between the cylinders {image} and {image} above the xy-plane and below the plane z = x + 7 Select the correct answer. The choices are rounded to the nearest hundredth.
1.22
4.6
5.27
8.66
8.7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2. Find the mass of the solid S bounded by the paraboloid {image} and the plane z = 2 if S has constant density 10. Select the correct answer. The choices are rounded to the nearest hundredth.
7.49
7.26
15.71
8.45
17.36
9.14 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3. Use spherical coordinates to evaluate {image} where E is bounded below by the cone {image} and above by the sphere {image} Select the correct answer. The choices are rounded to the nearest hundredth.
43.94
61.33
53.87
49.08
49.97
55.63 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4. Use cylindrical or spherical coordinates, whichever seems more appropriate, to find the volume of the solid E that lies above the cone {image} and below the sphere {image} Select the correct answer. The choices are rounded to the nearest hundredth.
22.19
16.56
21.11
25.03
12.62
18.64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

5. Evaluate the integral by changing to spherical coordinates: {image} Select the correct answer. The choices are rounded to the nearest hundredth.
15.09
15.56
12.88
10.09
7.62
12.94 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50