Purchase Solution

Surface Area of a Revolved Curve

Not what you're looking for?

Ask Custom Question

Utilise the following formula that gives the surface area of a curve that revolves around the y-axis:
S=∫2πx √ (1 + (dx/dy)²)dy throughout c, d

Now calculate the area of the surface that would come about by rotating the curve around the y axis with the boundaries below:

x = (1/3)y³'² - y ¹'² 1≤ ;y≤ 3

Aim to be detailed - give the complete derivation, integration and substitution of limits to calculate the area.

Purchase this Solution
Solution Summary

Thsi shows how to find the surface area of a solid of revolution.

Purchase this Solution
Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Multiplying Complex Numbers

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

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

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

  • Length of an arc and surface area of a function

    The lengths of an arc and surface area of a function is found. The revolved functions in a graph are generated.

  • Volume and surface area of a solid

    the region bound by the circle (x-a)^2 + y^2 = a^2 is revolved around about the y-axis to generate a solid 1 find the volume 2 find the surface area According to method of washers, the volume of the solid generated by revolving the curve around

  • Revolutions of integrals - torus

    22465 Revolutions of integrals - torus The circle x=acost, y=asint, 0≦t≦2pi is revolved about the line x=b, 0<aa torus (doughnut). Find its surface area. Area if the torus:_____________.

  • 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.

  • Area Bounded by Curves & Volume of Solid of Revolution

    pi/4]. 60) Find the area of the surface generated when the curve y= x^2 on the interval [0,1] is revolved about the y axis.

  • 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.

  • Area of Surface and Volume of Solid of Revolution (12 Problems)

    39174 Area of Surface and Volume of Solid of Revolution Find the area of the surface generated when the arc of the curve... between t=0 and y=1 is revolved about: a) the y-axis b) the x-axis c) the line

  • Improper Integrals surface area problem..

    Surface Area: The region bounded by [(x-2)^2]+y^2=1 is revolved about the y-axis to form a torus find the surface area of the torus. PLEASE show or explain step by step process.

  • Volume of Solid of Revolution

    y = -x + 4x, x = 3 about the x - axis volume of the solid obtained by revolving the area under the curve y = f(x), x axis, and the ordinates at x= a and x = b ; about the x axis is we have to rotate the shaded area about the x axis.

View More Related Solutions