Solution: Find the surface area generated by rotating the parabola arc about the x-axis

Find the surface area (in square units) generated by rotating the parabola arc y = x^2 about the x-axis from x = 0 to x = 1. How to find the surface area using theorems of pappus?

Find the surface area generated by rotating the parabola arc about the x-axis

Problem Statement:

Find the surface area (in square units) generated by rotating the parabola arc y = x^2 about the x-axis from x = 0 to x = 1.

Problem Answer:

The surface area generated by rotating the parabola arc about the x-axis is 5.33 sq. units.

Solution:

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