 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: Find the volume of the solid obtained by rotating the region bounde...
 6.2.14: Find the volume of the solid obtained by rotating the region bounde...
 6.2.15: Find the volume of the solid obtained by rotating the region bounde...
 6.2.16: Find the volume of the solid obtained by rotating the region bounde...
 6.2.17: Find the volume of the solid obtained by rotating the region bounde...
 6.2.18: Find the volume of the solid obtained by rotating the region bounde...
 6.2.19: Refer to the figure and find the volume generated by rotating the g...
 6.2.20: Refer to the figure and find the volume generated by rotating the g...
 6.2.21: Refer to the figure and find the volume generated by rotating the g...
 6.2.22: Refer to the figure and find the volume generated by rotating the g...
 6.2.23: Refer to the figure and find the volume generated by rotating the g...
 6.2.24: Refer to the figure and find the volume generated by rotating the g...
 6.2.25: Refer to the figure and find the volume generated by rotating the g...
 6.2.26: Refer to the figure and find the volume generated by rotating the g...
 6.2.27: Refer to the figure and find the volume generated by rotating the g...
 6.2.28: Refer to the figure and find the volume generated by rotating the g...
 6.2.29: Refer to the figure and find the volume generated by rotating the g...
 6.2.30: Refer to the figure and find the volume generated by rotating the g...
 6.2.31: Set up an integral for the volume of the solid obtained by rotating...
 6.2.32: Set up an integral for the volume of the solid obtained by rotating...
 6.2.33: Set up an integral for the volume of the solid obtained by rotating...
 6.2.34: Set up an integral for the volume of the solid obtained by rotating...
 6.2.35: Use a graph to find approximate xcoordinates of the points of inte...
 6.2.36: Use a graph to find approximate xcoordinates of the points of inte...
 6.2.37: Use a computer algebra system to find the exact volume of the solid...
 6.2.38: Use a computer algebra system to find the exact volume of the solid...
 6.2.39: Each integral represents the volume of a solid. Describe the solid ...
 6.2.40: Each integral represents the volume of a solid. Describe the solid ...
 6.2.41: Each integral represents the volume of a solid. Describe the solid ...
 6.2.42: Each integral represents the volume of a solid. Describe the solidy...
 6.2.43: A CAT scan produces equally spaced crosssectional views of a human...
 6.2.44: A log 10 m long is cut at 1meter intervals and its crosssectional ...
 6.2.45: (a) If the region shown in the figure is rotated about the xaxis t...
 6.2.46: (a) A model for the shape of a birds egg is obtained by rotating ab...
 6.2.47: Find the volume of the described solid S A right circular cone with...
 6.2.48: Find the volume of the described solid S A frustum of a right circu...
 6.2.49: Find the volume of the described solid S A cap of a sphere with rad...
 6.2.50: Find the volume of the described solid S A frustum of a pyramid wit...
 6.2.51: Find the volume of the described solid S A pyramid with height h an...
 6.2.52: Find the volume of the described solid S A pyramid with height h an...
 6.2.53: Find the volume of the described solid S A tetrahedron with three m...
 6.2.54: Find the volume of the described solid S The base of S is a circula...
 6.2.55: Find the volume of the described solid S The base of S is an ellipt...
 6.2.56: Find the volume of the described solid S The base of S is the trian...
 6.2.57: Find the volume of the described solid S The base of S is the same ...
 6.2.58: Find the volume of the described solid S The base of S is the regio...
 6.2.59: Find the volume of the described solid S The base of S is the same ...
 6.2.60: Find the volume of the described solid S The base of S is the regio...
 6.2.61: Find the volume of the described solid S The solid S is bounded by ...
 6.2.62: The base of S is a circular disk with radius r. Parallel crosssecti...
 6.2.63: (a) Set up an integral for the volume of a solid torus (the donuts...
 6.2.64: Solve Example 9 taking crosssections to be parallel to the line of...
 6.2.65: (a) Cavalieris Principle states that if a family of parallel planes...
 6.2.66: Find the volume common to two circular cylinders, each with radius ...
 6.2.67: Find the volume common to two spheres, each with radius r, if the c...
 6.2.68: A bowl is shaped like a hemisphere with diameter 30 cm. A heavy bal...
 6.2.69: A hole of radius r is bored through the middle of a cylinder of rad...
 6.2.70: A hole of radius r is bored through the center of a sphere of radiu...
 6.2.71: Some of the pioneers of calculus, such as Kepler and Newton, were i...
 6.2.72: Suppose that a region 5 has area A and lies above the xaxis. When ...
Solutions for Chapter 6.2: Volumes
Full solutions for Single Variable Calculus: Early Transcendentals  8th Edition
ISBN: 9781305270336
Solutions for Chapter 6.2: Volumes
Get Full SolutionsSingle Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. Chapter 6.2: Volumes includes 72 full stepbystep solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Since 72 problems in chapter 6.2: Volumes have been answered, more than 42678 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Complex number
An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

Coordinate(s) of a point
The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian threedimensional space

Degree
Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution

Derivative of ƒ
The function defined by ƒ'(x) = limh:0ƒ(x + h)  ƒ(x)h for all of x where the limit exists

Elements of a matrix
See Matrix element.

Inferential statistics
Using the science of statistics to make inferences about the parameters in a population from a sample.

Logarithm
An expression of the form logb x (see Logarithmic function)

Mode of a data set
The category or number that occurs most frequently in the set.

n factorial
For any positive integer n, n factorial is n! = n.(n  1) . (n  2) .... .3.2.1; zero factorial is 0! = 1

Onetoone rule of exponents
x = y if and only if bx = by.

Perpendicular lines
Two lines that are at right angles to each other

Reflection
Two points that are symmetric with respect to a lineor a point.

Residual
The difference y1  (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

Sine
The function y = sin x.

Solve a triangle
To find one or more unknown sides or angles of a triangle

Sum of functions
(ƒ + g)(x) = ƒ(x) + g(x)

Tree diagram
A visualization of the Multiplication Principle of Probability.

Unbounded interval
An interval that extends to ? or ? (or both).

Ymax
The yvalue of the top of the viewing window.

Zero factor property
If ab = 0 , then either a = 0 or b = 0.