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Unformatted text preview: Home > My Assignments > Section 6.2 (Homework) About this Assignment SMALL BRIAN DIXON MA 241, section 009, Fall 2005 Instructor: Drew Pasteur North Carolina State University Due: Friday, September 23, 2005 11:02 PM EDT Description Volumes Current Score: 12 out of 12 Question Score pts subs 1 2/2 1/20 2/2 Viewing: Last Response View: All Responses Notes pts subs 1 2/2 1/20 2/2 Viewing: Last Response View: All Responses Notes pts subs 1 2/2 1/20 2/2 Viewing: Last Response View: All Responses Notes 1. [SCalcCC2 6.2.04.] Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or "washer." (Do this on paper. Your teacher may ask you to turn in this work.) x = y - y2, x = 0; about the y-axis 0.1047 [0.105] 2. [SCalcCC2 6.2.06.] Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or "washer." (Do this on paper. Your teacher may ask you to turn in this work.) y = sec x, y = 1, x = -1, x = 1; about the x-axis 3.5023 [3.5] 3. [SCalcCC2 6.2.08.] Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or "washer." (Do this on paper. Your teacher may ask you to turn in this work.) y = x2/3, x = 1, y = 0; about the y-axis 2.356 [2.36] pts subs 1 2/2 3/20 2/2 Viewing: Last Response View: All Responses Notes pts subs 1 2/2 1/20 2/2 Viewing: Last Response View: All Responses Notes 4. [SCalcCC2 6.2.12.] Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or "washer." (Do this on paper. Your teacher may ask you to turn in this work.) 1.6755 [1.68] 5. [SCalcCC2 6.2.20.] A log 10 m long is cut at 1 meter intervals and its cross-sectional areas A (at a distance x from the end of the log) are listed in the table. Use the Midpoint Rule with n = 5 to estimate the volume of the log. 5.8 [5.8] m3 pts subs 1 2/2 1/20 2/2 Viewing: Last Response View: All Responses Notes 6. [SCalcCC2 6.2.22.] Find the volume of the described solid S. Use only the variables h, R, and r in your answer. A frustum of a right circular cone with height h, lower base radius R, and top radius r V = (pi*h)/3(R^2+R*r+r^2) r^2))] [(1/3)*pi*h * (3*R*r + (R^2 - 2*R*r + Home My Assignments ...
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