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)...


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Let E be the ball of radius 5 centered on the origin from<br>which the cylinder about the z-axis of radius 4 is removed.<br>(a) The volume of E is:<br>(1) Larger than<br>· 53<br>3<br>53<br>(2) Smaller than 47<br>3<br>24<br>(3) Both (1) and (2)<br>(4) Neither (1) nor (2)<br>(b) In standard cylindrical coordinates, E can be parametrised by<br>-Vr² – 16 < z < Vr2 – 16<br>V22 + 16 <r < 5<br>(1)<br>4 <r< 5<br>-3 <z< 3<br>15 of 24<br>0<0< 27<br>0 <0< 2n<br>-3 < z< 3<br>(3)<br>4 <r< 5<br>(4) Both (1) and (2)<br>(5) None of the answers<br>0 < 0< 27<br>Volume(E)<br>(c) Evaluate exactly<br>Your answer to (a):<br>Your answer to (b):<br>Your answer to (c):<br>

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="">

Jun 04, 2022
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