Purchase Solution

Surface of Revolution

Not what you're looking for?

Ask Custom Question

Y=2*sqrt[x] y=0, x=3

We are using the following formula 2pi intergal of r(x) times the sqrt of 1 + (f'(x))^2.

Purchase this Solution
Solution Summary

The method of finding a surface of revolution is discussed.

Solution Preview

Well, there is vagueness here. I am not sure whether the rotation has been about the x-axis or y-axis. Your question is about the method of integration. Well, I consider both cases i.e. rotation about x-axis and rotation about y-axis. y=0 implies that x=0, so the integral will be taken from x=0 to x=3.

Case I- About x-axis:

but we can merge the integrand expressions, ...

Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

View More Free Quizzes
Related BrainMass Solutions

  • Surface Area of Revolution

    40438 Surface Area of Revolution Find the surface area of revolution generated by revolving the region under the curve y=2x on the interval [0,1] about the x-axis. Please see the attached file for the complete solution.

  • Surface of the area of revolution

    The definition for the area of a surface of revolution is as follows: The surface of the area of revolution is calculated. The surface obtained for closed domain are given.

  • Revolutions of integrals - torus

    Over an entire revolution of 360 degrees, length traced = dr. Total surface area = The area of the torus is found by revolutions of integrals.

  • Area of a surface of revolution

    4908 Area of a surface of revolution NOTE: we are supposed to use the definition of the Area of a Surface of Revolution to solve this problem. I have attached this formula in a word document.

  • Surface Integral of a Paraboloid of Revolution

    105354 Surface Integral of a Paraboloid of Revolution Let S be the closed surface of the paraboloid of revolution z = ±(4 − x2 − y2 ) where −2 x, y +2.

  • Finding the Induced Metric of a Hyperboloid

    The metric of a hyperboloid of revolution in Euclidean space is calculated with respect to the natural parameterization of a surface of revolution.

  • Finding the area of a surface of revolution

    125831 Finding the Area of a Surface of Revolution Q: The curve y = sqrt(9-x^2), -1<=x<=1 is an arc of the circle x^2 + y^2 = 9. Find the area of the surface obtained by rotating this arc about the x-axis.

  • Surface area of revolution

    Hence we add 1 to the original limits A surface area of revolution is found. A curve being revolved is examined.

  • Volume and surface area of a solid

    The area of surface revolution is So the total surface area is So the surface area is This shows how to find volume and surface area of a solid using calculus.

  • Finding volume bounded by given curves

    Set up the integral for the surface area of the surface of revolution, and approximate the integral with a numerical method. revolved about the x-axis 36.

View More Related Solutions