# Calculus - Volume of the solids of Revolution

Question (1)

What is the volume of the solid of revolution obtained by rotating the region bounded by y = 1 and y = 5 - x^2 around the X-axis.

Question (2)

Find the volume of the solid of revolution obtained by rotating the region bounded by y = 1 and y = Tan x about the x-axis from x = 0 to x = pi/4.

See attached file for full problem description.

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#### Solution Preview

Given that y = 1 .....................(1)

And y = 5 - x2 ...

#### Solution Summary

The detailed step by step solution with all the required working and and the sketch is given in the attached solution file. By using this solution, students would be able to solve many other problems of this type at their own effort.

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