7. Compute the volume of a sphere of radius R by using cylindrical shells. Hints: you can just do the upper half of the sphere and double the result, and you can use the pythagorean theorem to relate the height of a shell to its radius. Draw and label a single cylindrical shell, draw and label the "cut and unrolled" slab that results from the shell and write down an expression for din terms of x and dx before setting up and computing the final integral.

7. Compute the volume of a sphere of radius R by using cylindrical shells. Hints: you can just do the upper half of the sphere and double the result, and you can use the pythagorean theorem to relate the height of a shell to its radius. Draw and label a single cylindrical shell, draw and label the "cut and unrolled" slab that results from the shell and write down an expression for din terms of x and dx before setting up and computing the final integral.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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