The curve f(x) = cos(x) + 2 from x = 0 to Zn is rotated about the x-axis to form the shape of an hourglass. Ifx and f(x) are measured in centimeters, then what is the volume of the hourglass in cubic centimeters? (1 point) 0 88.8264 0 39.4784 28.2743 0 12.5664 The function y = (x + 3)2 on the domain [-3, ), is bounded by the vertical line x = -3 and the horizontal line y = 9. Which of the following gives the volume of the solid generated when the region is revolved around the vertical line x = -3? (1 point) 13.5 O 40.5 42.4115 O 127.2345Let R be the region in the first quadrant bounded by x2 - y2 = 16, the horizontal line y = 0, and the vertical line x = 5. What is the volume of the solid formed by revolving R about the x-axis? (1 point) O 4.3333 O 13.6136 O 18.7778 O 28.2743A region in the rst quadrant is bounded by the graph y = 3x. the yaxis, and the horizontal liney = 4. What is the volume of 3 the solid generated when this region is rotated around the yaxis? (1 point) A region in Quadrant II is bounded by the graph y = (x + 3)2 and the horizontal line y = 9. Which of the following gives the volume of the solid generated when the region is revolved around the horizontal line y = 9? (1 point) OV= 16 ( (x+ 3) 2 - 9)2 dx OV= 1 9- (x+ 3)2 dx OV=1619 - ( x + 3)2) 2 dx O V = ng ( X+ 3) 2 - 9dx