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Volume of a Solid of Revolution

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Volume of a solid generated by the rotating the region formed by the graphs - y= x^2 , y =2, x = 0

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A volume of a solid of revolution is found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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Volume of solids of revolution..

Volume of solids of revolution..

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4. Write an integral that represents the volume of the solid formed by rotating the region bounded by , , , and about (a) the axis; (b) the line ; and (c) the line , where .

15. Consider the solid formed by rotating the curve from to about the axis. Let be the function whose value is the volume of the solid between and . (a) What is ? (b) For some small , what is ? (c) Using the definition of the derivative, find the definite integral that represents the total volume of the solid. (Let be a function such that .)

26. Find the volume of the top quarter of a sphere: .

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