[0/9.09 Points] DETAILS MY NOTES LARCALC12 14.7.033. PREVIOUS ANSWERS Use spherical coordinates to find the volume of the solid. (Use a graphing utility to evaluate the triple integral.) the torus given by p = 5 sin(4)

Question 2: Find the surface area of the object by rotating y = 4 + 3x²,1 < x < 2 about the у-аxis.

Use cylindrical coordinates. (a) Find the volume of the solid that the cylinder r = a cos θ cuts out of the sphere of radius a centered at the origin, show how you obtained the range for θ. (b) Illustrate the solid of part (a) by graphing the sphere and the cylinder on the same screen.

Determine the surface area of the solid obtained by rotating y=v9-x from -Zsxs2 about the x-axis. A 22 pi B 23 pi © 24 pi D 25 pi

9-21. Locate the centroid x of the shaded area. -y = (4 – x)? 16 ft 4 ft 4 ft

Use cylindrical coordinates to compute the surface area A of a sphere of radius R = 6. (Use symbolic notation and fractions where needed.) A =

32. The surface of an astroid Find the arca of the surface gen- erated by revolving about the x-axis the portion of the astroid *+ y = 1 shown in the accompanying figure. (Hinr: Revolve the first-quadrant portion y = (1 - xaa, OSIS 1, about the r-axis and double your result.) + yan-1

1 Find the area of the surface generated by revolving the curve x = 1 cos (2t), y = 7 +¬sin (2t) on 0sts, about the X-axis. 1 1 The area of the surface generated by revolving the curve x cos (2t), y = 7+5sin (2t) on 0sts; is square units. (Type an exact answer in terms of r.) Get More Help- Clear All Check Answer 8:37 AM 51°F SunnyA 2酒参 10/16/2021 元一2