1. A solid is created when the region bounded by the curves y : 9:2 and y : 332/3 IS rotated about the line 312 3. Which of the following integrals gives the volume of this solid? 0 71' f03 [32/3 3:212 d2: O 1rf0([932 +3)2 (2/3+3)2]da: O 71' 1'03 [:34 334/3] dm O 1131(3 222V (3 W121 dz 0 f01[m4m4/3+9]dm 2. The region in the first quadrant enclosed by the curves :9 1 332, a: 0 and y 0 is rotated around the line :1: l. The volume of this solid IS 23 Trunits3. 3. The region enclosed by the curves 3; : $3, 3} : 0 and a: = 3 is rotated about the xaxis to create a solid. The volume of this solid is 8? units3. 4. A solid is created when the region bounded by the curves y = 62:", y : 1,$ = 0 and x : 1 is rotated about the line y : 1. What is the volume of this solid? (You may evaluate the integral on a calculator after set up.) 5. A solid is created when the region bounded by the curves y = (m 1)2 and y = ln(a:) is rotated about the line a: = 1. What is the volume of this solid? (You may set up and evaluate the integral using a calculator.) 6. A solid is created when the region in the rst quadrant bounded by the curves y = $2, y = 432 and y : 4 is rotated about the line a: = 5. What is the volume of this solid? 0 180.956 0 301.593 0 6.283 7. What is the approximate volume of the solid created when the region under the curve :1; = V sin a: on the interval [0, 71'] is rotated around the m-axis