6. Let R be the region bounded by the x-axis, the y-axis, the graph of y = ex², and the line x = 1. https://www.geogebra.org/calculator/mmgxuuvu The volume of the solid formed by revolving R around the y-axis is

The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10 in. Find the exact a Lateral area b total area c volume.

Sketch the solid that results when the given circle of radius length 1 unit is revolved about the horizontal line that lies 1 unit below the center of that circle.

A coffee can is shaped like a cylinder with height 7 inches and radius 5 inches. Find (a) the surface area and (b) the volume of the can. Round to the nearest tenth.

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the base area of a right circular cone that is 15.8 centimeters high and has a volume of 1070 cubic centimeters.

1. Graph and shade the region enclosed by the curves x=(y-2) and y= x . Find the volume of the solid obtained by rotating the shaded region about the line y =-1 explaining the geometry. %3x

The area enclosed by the ellipse (x²/9) + (y²/4) = 1 is revolved about the line x = 3. What is the volume generated? а. 355.3 b. 360.1 C. 370.3 d. 365.1 Activ Go to S

3) Find the volume of the first quadrant region bounded by y = x2 , the y-axis and y = 4 rotated about y-axis (Show the bounded region in a graph.)

2. The region is bounded by the curve y = x(x + 4), the x-axis and the line x = 3. Find the following; a. Area b. Volume generated if the area is revolved about b.1. x- axis b.2. x = 3 b.3. у-аxis c. Locate center of gravity

5. 6. Find the area of the region bounded by the graphs of y=x²-2x and y=x. Find the volume of the solid formed when the area bounded by the graphs of y=x² and y=xis rotated around the X axis.