Deck 6: Applications of Definite Integrals
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Deck 6: Applications of Definite Integrals
1
Find the volume of the described solid.


D
2
Find the volume of the solid generated by revolving the shaded region about the given axis.


D
3
Find the volume of the described solid.


B
4
Find the volume of the described solid.


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5
Find the volume of the solid generated by revolving the shaded region about the given axis.


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6
Find the volume of the described solid.


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7
Find the volume of the solid generated by revolving the shaded region about the given axis.


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8
Find the volume of the solid generated by revolving the shaded region about the given axis.


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9
Find the volume of the described solid.


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10
Find the volume of the described solid.


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11
Find the volume of the described solid.


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12
Find the volume of the described solid.


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13
Find the volume of the solid generated by revolving the shaded region about the given axis.


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14
Find the volume of the solid generated by revolving the shaded region about the given axis.


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15
Find the volume of the solid generated by revolving the shaded region about the given axis.


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16
Find the volume of the solid generated by revolving the shaded region about the given axis.


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17
Find the volume of the described solid.


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18
Find the volume of the solid generated by revolving the shaded region about the given axis.


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19
Find the volume of the solid generated by revolving the shaded region about the given axis.


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20
Find the volume of the described solid.


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21
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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22
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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23
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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24
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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25
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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26
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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27
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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28
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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29
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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30
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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31
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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32
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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33
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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34
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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35
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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36
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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37
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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38
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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39
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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40
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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41
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.


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42
Find the volume of the solid generated by revolving the region about the y-axis.


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43
Find the volume of the solid generated by revolving the region about the y-axis.


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44
Find the volume of the solid generated by revolving the region about the y-axis.


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45
Find the volume of the solid generated by revolving the region about the y-axis.


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46
Find the volume of the solid generated by revolving the region about the given line.


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47
Find the volume of the solid generated by revolving the region about the y-axis.


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48
Find the volume of the solid generated by revolving the region about the given line.


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49
Find the volume of the solid generated by revolving the region about the given line.


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50
Find the volume of the solid generated by revolving the region about the given line.


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51
Find the volume of the solid generated by revolving the region about the y-axis.


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52
Find the volume of the solid generated by revolving the region about the y-axis.


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53
Find the volume of the solid generated by revolving the region about the given line.


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54
Find the volume of the solid generated by revolving the region about the given line.


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55
Find the volume of the solid generated by revolving the region about the given line.


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56
Find the volume of the solid generated by revolving the region about the y-axis.


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57
Find the volume of the solid generated by revolving the region about the y-axis.


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58
Find the volume of the solid generated by revolving the region about the given line.


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59
Find the volume of the solid generated by revolving the region about the given line.


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60
Find the volume of the solid generated by revolving the region about the given line.


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61
Solve the problem.


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62
Solve the problem.


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63
Find the volume of the solid generated by revolving the region about the y-axis.


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64
Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.


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65
Solve the problem.


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66
Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.


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67
Solve the problem.


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68
Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.


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69
Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.


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70
Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.


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71
Solve the problem.


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72
Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.


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73
Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.


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74
Solve the problem.


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75
Solve the problem.


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76
Solve the problem.


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77
Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.


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78
Solve the problem.


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79
Solve the problem.


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80
Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.


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