Question

The base o a solid is the region in the xy plane bounded by y =...

The base o a solid is the region in the xy plane bounded by y = 4x, y = 2x+8 and x = 0. Find the the volume of the solid if the cross sections that are perpendicular to the x-axis are: (a) Squares; (b) semicircles.

Homework Answers

Answer #1

hence (a) volume of solid is 10.66 cubic unit and (b) volume of solid is 4.18 cubic unit.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The region bounded by y=x^3, y=x, x=0 is the base of a solid. a) If the...
The region bounded by y=x^3, y=x, x=0 is the base of a solid. a) If the cross sections are perpendicular to the x-axis are right isosceles triangles (congruent leg lies on the base), find the volume of the solid. b) If the cross sections are perpendicular to the y-axis are equilateral triangles, find the volume of the solid.
Consider the region in the xy-plane that is bounded by y = 2x^2and y = 4x...
Consider the region in the xy-plane that is bounded by y = 2x^2and y = 4x for x ≥ 0.Revolve this region about the y-axis superfast so that your eyes glaze over and it looks like a solid object. Find the volume of this solid.
The base of a solid is the region bounded by y = 9 and y =...
The base of a solid is the region bounded by y = 9 and y = x 2 . The cross-sections of the solid perpendicular to the x axis are rectangles of height 10. The volume of the solid is
Find the volume of the solid whose base is rotating around the region in the first...
Find the volume of the solid whose base is rotating around the region in the first quadrant bounded by y = x^5 and y = 1. A) and the y-axis around the x-axis? B) and the y-axis around the y-axis? C) and y-axis whose cross sections are perpendicular to x-axis are squares
Find the volume of the solid ? if the base of ? is the triangular region...
Find the volume of the solid ? if the base of ? is the triangular region with vertices (0,0), (3,0), and (0,2) and cross sections perpendicular to y-axis are semicircles. Please explain how you found x/3 + y/2 =1
Consider the region in the xy-plane bounded by the curves y = 3√x, x = 4...
Consider the region in the xy-plane bounded by the curves y = 3√x, x = 4 and y = 0. (a) Draw this region in the plane. (b) Set up the integral which computes the volume of the solid obtained by rotating this region about the x-axis using the cross-section method. (c) Set up the integral which computes the volume of the solid obtained by rotating this region about the y-axis using the shell method. (d) Set up the integral...
Suppose a solid has as its base a circular region in the xy-plane. What method could...
Suppose a solid has as its base a circular region in the xy-plane. What method could be used to find the volume of the solid if every cross-section by a plane perpendicular to the x-axis is a triangle with one side in the base? Name the method only.
The base of a solid is the region in the first quadrant bounded by the graph...
The base of a solid is the region in the first quadrant bounded by the graph of y=cos x, and the x- and y-axes. For the solid, each cross-section perpendicular to the x-axis is an equilateral triangle. What is the volume of the solid? A- 0.785 B-0.433 C -1.000 D- 0.340
1) A volume is described as follows: 1. the base is the region bounded by y=2−2/25x^2...
1) A volume is described as follows: 1. the base is the region bounded by y=2−2/25x^2 and y=0 2. every cross-section parallel to the x-axis is a triangle whose height and base are equal. Find the volume of this object. volume = 2) The region bounded by f(x)=−4x^2+24x+108, x=0, and y=0 is rotated about the y-axis. Find the volume of the solid of revolution. Find the exact value; write answer without decimals.
Find the volume of the solid generated by revolving the region bounded by y = 2ex...
Find the volume of the solid generated by revolving the region bounded by y = 2ex - 4x, y = 2 - 2x, x = 0, x = 1 about the x-axis using the most appropriate method.