Question

8) using your specific parameters a and b from start to
final answer, establish and evaluate in detail a definite integral
to find the volume of the solid of revolution generated by rotating the
ellipse (around the x axis.)

2 72 2

9) Using your specific parameters a and b from start to
final answer, establish and evaluate in detail a definite integral
to find the volume of the solid of revolution generated by rotating the ellipse (around the y axis.)

​​​​​​​

2 72 2

Answer 1

Given figure 2 aty²=7² x² yz t 92 :7 -1 => 2 2 327 42 a=7.6=7 62 =) To find the volume of the solid of revolution generated by rotating the ellipse inx-anis is a V=hty? dx 9² 49-02 at We rolate this Curve betiren x=-7 to a=7 about a-anies through 360° to from a spheel 2²+4=72 g² 49-72 S (49-22) dN = T[ 49 x - 2377 7 va ros -7 -7

r[ 49 (747) (17² + #3) 4973 *7 + 4987 - - 7 (243 8214 T/2073) 2473] =(732.7[1-1) 4860 As Cubic cob 972 T (9) TO volume of solid revolution generated by ellipe y-au's ñ 보 va s Tx? dy وہ -=v 9 x² = 49-yh we rotate the curre Yary to y=7 about y-aus ilinough 360 Vet"7(49–94)dy: = 21" 69-99dy I=-7 7 = 2T (494-Y - 23 = 27 (43) (243( 406)(1-3) =972 I Cubic unis 3