Use the method of cylindrical shells to find the volume of the solid, generated by the enclosed region when rotating through one revolution. y=6x-2x, y=x, Rotation about x-0 Answer the following: 11 11 Sketch the graphs and show all information to determine the volume using the method specified above. a Set-up the formulation for the volume of the approximating rectangle (i.e. elemental volume). b Specify the domain of the enclosed region. .c Set-up the integral and if possible, simplify it. d

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.

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. The frustum of a right circular cone has a larger base area of 40.0 square centimeters and a smaller base area of 19.0 square centimeters. The height is 22.0 centimeters. Find the volume. Round the answer to the nearest cubic centimeter.

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.

Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the curves about the given axis. y = 2x² + 12, y = = 16x2, y-axis (Express numbers in exact form. Use symbolic notation and fractions where needed.) V = Incorrect 7104T 3 Feedback You have not correctly calculated the volume of the solid. Use the Shell Method to determine the volume of the solid. Slice the region vertically. Then the volume of the solid obtained by rotating the region under y = f(x) over the interval [a, b] about an axis is V = 2π b 1.° (m (radius) (height of sh

Find the area of the region enclosed by the curves between their intersections. y = 4x? and y = Vx The area of the region is square unit(s). (Type an integer or a simplified fraction.)

Plz answer all the questions

Use the model given to answer the question about the object or process being modeled.

Match each solid with their volume formula.

n the mid-20th century, engineers constructed a series of canals to move irrigation water from water sources to farming communities throughout the western United States. The volume of water a canal an move is partially dependent on its cross-sectional area. Suppose a canal is trapezoidal, 35.0 ft across the top and 15.0 ft across the bottom, with a planned depth of water of 10.0 ft as shown in the gure. Find the cross-sectional area of the canal when it is full (in ft). (Use the rules for working with measurements to give your answer to the appropriate accuracy and/or precision.) 35.0 ft 10.0 ft 15.0 ft