Math 142 Calculus 2 Chapter 6

Section 6.1 Washer Method
    Worksheet for Washer Method

Section 6.2 Shell Method
    Worksheet for Shell Method                                                                                             

Section 6.3 Arc Length
    Worksheet for Arc Length

Section 6.4 Areas of Surfaces of Revolution
    Worksheet for Areas of Surfaces of Revolution

Section 6.5 Work and Fluid Forces
    Worksheet for Work and Fluid Forces

Section 6.6 Moments and Center of Mass      Generic center of mass formulas video
    Worksheet for Moments and Center of Mass

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Questions asked by students

Find Volume of the Described Solid 6.1-3 (15^th Edition)

Circle Diameters Volume 6-1-9 (15^th Edition)

Find Volume of the Solid Generated by Revolving About the X-Axis 6-1-17 (15^th Edition)

Another Find Volume of the Solid Generated by Revolving About the X-Axis 6-1-17 (15^th Edition)

Find Volume of the Solid Generated by Revolving About the Y-Axis 6-1-19 (15^th Edition)

Find Volume of the Solid Generated by Revolving the Region Bounded by … 6-1-21 (15^th Edition)

Find the Volume of the Solid Generated by Revolving the Region in the First Quadrant … 6.1-33

Outer Radius Minus Inner Radius 6-1-35 (15^th Edition)

Find Volume of the Solid Generated by Revolving Region about the Given Axis 6-1-47 (15^th Edition)

Find Volume of the Solid Generated by Revolving Region Bounded by the Parabola and Following Lines 6-1-51 (15^th Edition)

Find the Volume that Remains After a Hole is Bored Through the Center of a Solid Sphere 6.1-51 (15^th Edition)

A Disk is Revolved about a Line to Generate a Doughnut-like Shape– Find the Volume 6-1-53 (15^th Edition)

Find Volume of Water in the Hemispherical Bowl and How Fast is the Water Level Rising 6-1-54 (15^th Edition)

Use Shell Method to Find the Volume 6-2-25 part a, b, c (15^th Edition)

Use Shell Method to Find the Volume 6-2-25 part d (15^th Edition)

Use Shell and Washer Method; x-axis 6.2.29 (15^th Edition)

Use Shell and Washer Method; y-axis 6.2.29 (15^th Edition)

Find Volume of Bead Formed from a Sphere 6.2-41 (15^th Edition)

Find Volume of Water Noodle Formed by Drilling Through the Diameter of a Cylinder 6.2-41 (15^th Edition)

Find the Length of the Curve 6-3-9 (15^th Edition)

Use a Grapher to Find the Curve’s Length Numerically 6.3.15-T (15^th Edition)

Use a Grapher to find the Curve’s Length Numerically 6.3.16-T (15^th Edition)

Find the Length of the Asteroid by Finding the Length of Half the First-Quadrant Portion 6-3-24 (15^th Edition)

Find ds^2 Where the Function s is the Arc Length Function 6.3.27 (15^th Edition)

6.3.31 arc length of first quadrant of unit circle with four line segment pieces (15^th Edition)

6-3-33 fundamental theorem of calculus and length of a curve (15^th Edition)

Set Up an Integral for the Area Generated by Revolving the Curve (with trig) About the x-axis 6.4.1-T (15^th Edition)

Set Up an Integral for the Area Generated by Revolving the Curve About the y-axis 6.4.3-T (15^th Edition)

Set Up an Integral for the Area Generated by Revolving the Curve (with trig) About the Y-axis 6.4.7-T (15^th Edition)

Find the Surface Area of the Cone Frustum Generated by Revolving the Line Segment about the X-axis 6-4-12 (15^th Edition)

Find the Surface area 6-4-13 (15^th Edition)

Find the Area of the Surface Generated by Revolving about the Y-axis 6.4.19 (15^th Edition)

Surface Area and Arc Length 6-4-30 (15^th Edition)

Weather Dome 6-4-28/T (15^th Edition)

How Much Work to Pump Contents of Conical Container to Rim and 5 ft Above the Rim 6-5-20  (15^th Edition)

6-5-20 conic problem  (15^th Edition)

Find Work Required to Pitch a Softball a Certain Speed 6-5-30 (15^th Edition)

Find Work Required to Project an Object at Rest to a Specific Speed 6-5-27 (15^th Edition)

 How Many Cubic Feet Can the Isosceles end Plated Tank Hold Without Exceeding the Limitation 6-5-46 (15^th Edition) 

How Many Cubic Feet Can the Isosceles end Plated Tank Hold Without Exceeding the Limitation 6-5-46 (15^th Edition)

The Region Bounded by X-axis and Curve 6-6-13 (15^th Edition)

Moment of a Wire 6-6-31 (15^th Edition)

Center of Mass of a Wire 6-6-33 (15^th Edition)

6-6-47 Center of Mass; Semicircle and X-axis (15^th Edition)

6-6-41 volume of a diagonal square NOT using Theorem of Pappus   (15^th Edition)