Question: Can you please answer the question from your own work with details for good feedback 3. Surface Area. There are many kinds of surfaces. but

Can you please answer the question from your own work with details for good feedback

Can you please answer the question from your own work with details

3. Surface Area. There are many kinds of surfaces. but here we focus on surfaces of revolution that is. the surface of a solid created by revolving a curve about a line. A. solid of this type will have two circular faces with areas that are easy to compute. The third curved face which wraps all the way around the solid, known as the surlce ofrevoiurion. is our subject of interest. A a] Draw the graph of a smooth, nonlinear function y = f[x] that lies above the xaxis over an interval (a, h). We want to imagine this curve rotated about the xazds. creating a solid. You do not need to attempt a threedimens'ional drawing. Simply draw the reection of f below the xaxis with connecting line segments at x = a and x = b. b] [in the same drawing, divide the interval inton subintervals of equal width x. with boundary values 3CD. x1, "\"12\" [a = x1]. and b = x}. Draw points on each curve that correspond with these boundary values. c] To determine the volume of a solid, we used approximating disks. This technique is not quite right for determining surface area. Instead. on the same drawing. draw trapezoids. one for each subinterval. with each trapezoid corner touching a curve. d] Really these are frustums, not trapezoids. Draw a separate threedjmenstional picture of a Wm [a cone without a tip] with average radius r and slant length I. The area of the surface of this 'ustum, not including the top and bottom circles, is Earl. e] Explain in your own words why the surface area is equal to Edam

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!