assignment_sheet_WA1 - Name College ID Thomas Edison State...

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Name: College ID: Thomas Edison State College Calculus II (MAT-232) Section no.: 5.2,5.3, 5.4 Semester and year: Written Assignment 1 Answer all assigned exercises, and show all work. Each exercise is worth 5 points. Section 5.2 2. Find the volume of the solid with cross-sectional area A ( x ).
6. Find the volume of a pyramid of height 160 feet that has a square base of side 300 feet. These dimensions are half those of the pyramid in example 2.1. How does the volume compare?
2 160 160 0 0 0 0 2 2 300 300 300 3 300 2 0 0 3 ( ) (0) 300, (160) 0 15 ( ) 300 8 15 ( ) 300 8 15 15 300, 8 8 8 8 15 15 8 8 15 15 3 4,800,000 f x mx b f f f x x V A x dx x dx u x du dx V u du u du u V u du V ft The volume is 1/8 of the volume of the pyramid in example 2.1. 10. A dome “twice as big” as that of exercise 9 (see text) has outline 2 120 120 x y for 120 120 x (units of feet). Find its volume. 2 2 2 2 120 120 120 2 120 0 120 2 2 2 0 3 ( ) 120 120 120 120(120 ) 120 120 120 120 120 120 120 120 (7200) 2 2 864000 b a x x x V f x dx y y y x y V y dy y V y V ft WA 1, p. 2
12. A pottery jar has circular cross sections of radius Sketch a picture of the jar and compute its volume.
18. Compute the volume of the solid formed by revolving the region bounded by 2 2 , 4 y x y x about (a) the x -axis; (b) y = 4.

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