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Extracted text: Let E be the ball of radius 5 centered on the origin from which the cylinder about the z-axis of radius 4 is removed. (a) The volume of E is: (1) Larger than · 53 3 53 (2) Smaller than 47 3 24 (3) Both (1) and (2) (4) Neither (1) nor (2) (b) In standard cylindrical coordinates, E can be parametrised by -Vr² – 16 < z="">< vr2="" –="" 16="" v22="" +="" 16="">< 5="" (1)="" 4=""><>< 5="" -3=""><>< 3="" 15="" of="" 24=""><>< 27="" 0=""><>< 2n="" -3=""><>< 3="" (3)="" 4=""><>< 5="" (4)="" both="" (1)="" and="" (2)="" (5)="" none="" of="" the="" answers="" 0=""><>< 27="" volume(e)="" (c)="" evaluate="" exactly="" your="" answer="" to="" (a):="" your="" answer="" to="" (b):="" your="" answer="" to="">
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