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(b) A solid right circular cylinder has radius r and height h. A plane passes through a diameter of the cylinder's base and intersects the cylinder's top in a single point, thereby cutting the cylinder into two pieces. Compute the volume

(b) A solid right circular cylinder has radius r and height h. A plane passes through a diameter of the cylinder's base and intersects the cylinder's top in a single point, thereby cutting the cylinder into two pieces. Compute the volume

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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When computing an volume of a solid, be sure to do the following: • Sketch the solid, along with a coordinate system. • Draw a general slice of the solid. • State in one or two complete sentences the cross-sectional area, the differential thickness, and the differential volume dV of the slice. Be sure to clearly explain, with an addtional picture, how you computed the cross-sectional area. (b) A solid right circular cylinder has radius r and height h. A plane passes through a diameter of the cylinder's base and intersects the cylinder's top in a single point, thereby cutting the cylinder into two pieces. Compute the volume of the smaller piece. Do this computatin twice, taking your slices in two different directions. Check that your answer is dimensionally correct. Check also that it is reasonable by comparing the volume with that of at least one other related solid.
Transcribed Image Text:When computing an volume of a solid, be sure to do the following: • Sketch the solid, along with a coordinate system. • Draw a general slice of the solid. • State in one or two complete sentences the cross-sectional area, the differential thickness, and the differential volume dV of the slice. Be sure to clearly explain, with an addtional picture, how you computed the cross-sectional area. (b) A solid right circular cylinder has radius r and height h. A plane passes through a diameter of the cylinder's base and intersects the cylinder's top in a single point, thereby cutting the cylinder into two pieces. Compute the volume of the smaller piece. Do this computatin twice, taking your slices in two different directions. Check that your answer is dimensionally correct. Check also that it is reasonable by comparing the volume with that of at least one other related solid.
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