The region shown on the right is revolved around the y-axis. a) Setup an integral to find the volume of the solid formed. Draw a picture to support the setup of your integral. b) Evaluate the integral you found in part (a). y = sin²x 0 TT/2 TT

For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a lateral area. b total area. c volume.

For the accompanying right circular cone, h=6 m and r=4 m. Find the exact and approximate a lateral area. b total area. c volume.

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid right cylinder 9.55 centimeters high contains 1910 cubic centimeters of material. Compute the cross-sectional area of the cylinder.

The region enclosed by the curve y = x ²- a ²and the x- axis is rotated by 90 deg about the x axis. Find an expression, in terms of a, for the volume of revolution formed.