 6.2.1: Find the volume of the solid obtained by rotating the region bounde...
 6.2.2: Find the volume of the solid obtained by rotating the region bounde...
 6.2.3: Find the volume of the solid obtained by rotating the region bounde...
 6.2.4: Find the volume of the solid obtained by rotating the region bounde...
 6.2.5: Find the volume of the solid obtained by rotating the region bounde...
 6.2.6: Find the volume of the solid obtained by rotating the region bounde...
 6.2.7: Find the volume of the solid obtained by rotating the region bounde...
 6.2.8: Find the volume of the solid obtained by rotating the region bounde...
 6.2.9: Find the volume of the solid obtained by rotating the region bounde...
 6.2.10: Find the volume of the solid obtained by rotating the region bounde...
 6.2.11: Find the volume of the solid obtained by rotating the region bounde...
 6.2.12: Find the volume of the solid obtained by rotating the region bounde...
 6.2.13: The region enclosed by the given curves is rotated about the specie...
 6.2.14: The region enclosed by the given curves is rotated about the specie...
 6.2.15: The region enclosed by the given curves is rotated about the specie...
 6.2.16: The region enclosed by the given curves is rotated about the specie...
 6.2.17: The region enclosed by the given curves is rotated about the specie...
 6.2.18: The region enclosed by the given curves is rotated about the specie...
 6.2.19: Set up, but do not evaluate, an integral for the volume of the soli...
 6.2.20: Set up, but do not evaluate, an integral for the volume of the soli...
 6.2.21: Use a graph to nd approximate coordinates of the points of interse...
 6.2.22: Use a graph to nd approximate coordinates of the points of interse...
 6.2.23: Use a computer algebra system to nd the exact volume of the solid o...
 6.2.24: Use a computer algebra system to nd the exact volume of the solid o...
 6.2.25: Each integral represents the volume of a solid. Describe the solid.
 6.2.26: Each integral represents the volume of a solid. Describe the solid.
 6.2.27: A CAT scan produces equally spaced crosssectional views of a human...
 6.2.28: A log 10 m long is cut at 1meter intervals and its crosssectional ...
 6.2.29: (a) If the region shown in the gure is rotated about the axis to f...
 6.2.30: (a) A model for the shape of a birds egg is obtained by rotating ab...
 6.2.31: Find the volume of the described solid . A right circular cone with...
 6.2.32: Find the volume of the described solid . A frustum of a right circu...
 6.2.33: Find the volume of the described solid . A cap of a sphere with rad...
 6.2.34: Find the volume of the described solid . A frustum of a pyramid wit...
 6.2.35: Find the volume of the described solid . A pyramid with height and ...
 6.2.36: Find the volume of the described solid . A pyramid with height and ...
 6.2.37: Find the volume of the described solid . A tetrahedron with three m...
 6.2.38: Find the volume of the described solid . The base of is a circular ...
 6.2.39: Find the volume of the described solid . The base of is an elliptic...
 6.2.40: Find the volume of the described solid . The base of is an elliptic...
 6.2.41: Find the volume of the described solid . The base of is the same ba...
 6.2.42: Find the volume of the described solid . The base of is the region ...
 6.2.43: Find the volume of the described solid . The base of is the same ba...
 6.2.44: The base of is a circular disk with radius . Parallel crosssections...
 6.2.45: (a) Set up an integral for the volume of a solid torus (the donuts...
 6.2.46: A wedge is cut out of a circular cylinder of radius 4 by two planes...
 6.2.47: (a) Cavalieris Principle states that if a family of parallel planes...
 6.2.48: Find the volume common to two circular cylinders, each with radius ...
 6.2.49: Find the volume common to two spheres, each with radius , if the ce...
 6.2.50: A bowl is shaped like a hemisphere with diameter 30 cm. A heavy bal...
 6.2.51: A hole of radius is bored through the middle of a cylinder of radiu...
 6.2.52: A hole of radius is bored through the center of a sphere of radius ...
 6.2.53: Some of the pioneers of calculus, such as Kepler and Newton, were i...
 6.2.54: Suppose that a region has area and lies above the axis. When is ro...
Solutions for Chapter 6.2: VOLUMES
Full solutions for Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series)  4th Edition
ISBN: 9780495559726
Solutions for Chapter 6.2: VOLUMES
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series), edition: 4. Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) was written by and is associated to the ISBN: 9780495559726. Since 54 problems in chapter 6.2: VOLUMES have been answered, more than 21917 students have viewed full stepbystep solutions from this chapter. Chapter 6.2: VOLUMES includes 54 full stepbystep solutions.

Additive identity for the complex numbers
0 + 0i is the complex number zero

Arcsine function
See Inverse sine function.

Binomial
A polynomial with exactly two terms

Completing the square
A method of adding a constant to an expression in order to form a perfect square

Composition of functions
(f ? g) (x) = f (g(x))

Distance (in Cartesian space)
The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x )  x 2)2 + (y1  y2)2 + (z 1  z 2)2

Equally likely outcomes
Outcomes of an experiment that have the same probability of occurring.

Head minus tail (HMT) rule
An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2  x 1, y2  y19>

Integers
The numbers . . ., 3, 2, 1, 0,1,2,...2

Interquartile range
The difference between the third quartile and the first quartile.

Negative linear correlation
See Linear correlation.

Onetoone function
A function in which each element of the range corresponds to exactly one element in the domain

Paraboloid of revolution
A surface generated by rotating a parabola about its line of symmetry.

Positive angle
Angle generated by a counterclockwise rotation.

Solve a system
To find all solutions of a system.

Speed
The magnitude of the velocity vector, given by distance/time.

Tangent
The function y = tan x

Terminal point
See Arrow.

Unit vector
Vector of length 1.

Variation
See Power function.