 6.2.1: 118 Find the volume of the solid obtained by rotating the region bo...
 6.2.2: 118 Find the volume of the solid obtained by rotating the region bo...
 6.2.3: 118 Find the volume of the solid obtained by rotating the region bo...
 6.2.4: 118 Find the volume of the solid obtained by rotating the region bo...
 6.2.5: 118 Find the volume of the solid obtained by rotating the region bo...
 6.2.6: 118 Find the volume of the solid obtained by rotating the region bo...
 6.2.7: 118 Find the volume of the solid obtained by rotating the region bo...
 6.2.8: 118 Find the volume of the solid obtained by rotating the region bo...
 6.2.9: 118 Find the volume of the solid obtained by rotating the region bo...
 6.2.10: 118 Find the volume of the solid obtained by rotating the region bo...
 6.2.11: 118 Find the volume of the solid obtained by rotating the region bo...
 6.2.12: 118 Find the volume of the solid obtained by rotating the region bo...
 6.2.13: 118 Find the volume of the solid obtained by rotating the region bo...
 6.2.14: 118 Find the volume of the solid obtained by rotating the region bo...
 6.2.15: 118 Find the volume of the solid obtained by rotating the region bo...
 6.2.16: 118 Find the volume of the solid obtained by rotating the region bo...
 6.2.17: 118 Find the volume of the solid obtained by rotating the region bo...
 6.2.18: 118 Find the volume of the solid obtained by rotating the region bo...
 6.2.19: 1930 Refer to the figure and find the volume generated by rotating ...
 6.2.20: 1930 Refer to the figure and find the volume generated by rotating ...
 6.2.21: 1930 Refer to the figure and find the volume generated by rotating ...
 6.2.22: 1930 Refer to the figure and find the volume generated by rotating ...
 6.2.23: 1930 Refer to the figure and find the volume generated by rotating ...
 6.2.24: 1930 Refer to the figure and find the volume generated by rotating ...
 6.2.25: 1930 Refer to the figure and find the volume generated by rotating ...
 6.2.26: 1930 Refer to the figure and find the volume generated by rotating ...
 6.2.27: 1930 Refer to the figure and find the volume generated by rotating ...
 6.2.28: 1930 Refer to the figure and find the volume generated by rotating ...
 6.2.29: 1930 Refer to the figure and find the volume generated by rotating ...
 6.2.30: 1930 Refer to the figure and find the volume generated by rotating ...
 6.2.31: 3134 Set up an integral for the volume of the solid obtained by rot...
 6.2.32: 3134 Set up an integral for the volume of the solid obtained by rot...
 6.2.33: 3134 Set up an integral for the volume of the solid obtained by rot...
 6.2.34: 3134 Set up an integral for the volume of the solid obtained by rot...
 6.2.35: 3536 Use a graph to find approximate coordinates of the points of ...
 6.2.36: 3536 Use a graph to find approximate coordinates of the points of ...
 6.2.37: 3738 Use a computer algebra system to find the exact volume of the ...
 6.2.38: 3738 Use a computer algebra system to find the exact volume of the ...
 6.2.39: 39 42 Each integral represents the volume of a solid. Describe the ...
 6.2.40: 39 42 Each integral represents the volume of a solid. Describe the ...
 6.2.41: 39 42 Each integral represents the volume of a solid. Describe the ...
 6.2.42: 39 42 Each integral represents the volume of a solid. Describe the ...
 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 cross section...
 6.2.45: (a) If the region shown in the figure is rotated about the axis to...
 6.2.46: (a) A model for the shape of a birds egg is obtained by rotating ab...
 6.2.47: 4759 Find the volume of the described solid .A right circular cone ...
 6.2.48: 4759 Find the volume of the described solid .A frustum of a right c...
 6.2.49: 4759 Find the volume of the described solid .A cap of a sphere with...
 6.2.50: 4759 Find the volume of the described solid .A frustum of a pyramid...
 6.2.51: 4759 Find the volume of the described solid .A pyramid with height ...
 6.2.52: 4759 Find the volume of the described solid .A pyramid with height ...
 6.2.53: 4759 Find the volume of the described solid .A tetrahedron with thr...
 6.2.54: 4759 Find the volume of the described solid .The base of is a circu...
 6.2.55: 4759 Find the volume of the described solid .The base of is an elli...
 6.2.56: 4759 Find the volume of the described solid .The base of is the tri...
 6.2.57: 4759 Find the volume of the described solid .. The base of is the s...
 6.2.58: 4759 Find the volume of the described solid .The base of is the reg...
 6.2.59: 4759 Find the volume of the described solid .The base of is the sam...
 6.2.60: The base of is a circular disk with radius . Parallel crosssections...
 6.2.61: (a) Set up an integral for the volume of a solid torus (the donuts...
 6.2.62: . Solve Example 9 taking crosssections to be parallel to the line ...
 6.2.63: (a) Cavalieris Principle states that if a family of parallel planes...
 6.2.64: Find the volume common to two circular cylinders, each with radius ...
 6.2.65: Find the volume common to two spheres, each with radius , if the ce...
 6.2.66: A bowl is shaped like a hemisphere with diameter 30 cm. A heavy bal...
 6.2.67: A hole of radius is bored through the middle of a cylinder of radiu...
 6.2.68: A hole of radius is bored through the center of a sphere of radius ...
 6.2.69: Some of the pioneers of calculus, such as Kepler and Newton, were i...
Solutions for Chapter 6.2: Volumes
Full solutions for Calculus: Early Transcendentals  7th Edition
ISBN: 9780538497909
Solutions for Chapter 6.2: Volumes
Get Full SolutionsChapter 6.2: Volumes includes 69 full stepbystep solutions. Since 69 problems in chapter 6.2: Volumes have been answered, more than 33496 students have viewed full stepbystep solutions from this chapter. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7.

Absolute value of a vector
See Magnitude of a vector.

Axis of symmetry
See Line of symmetry.

Closed interval
An interval that includes its endpoints

Convenience sample
A sample that sacrifices randomness for convenience

Distance (on a number line)
The distance between real numbers a and b, or a  b

Horizontal component
See Component form of a vector.

Hypotenuse
Side opposite the right angle in a right triangle.

Irrational numbers
Real numbers that are not rational, p. 2.

Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x: q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

Linear regression equation
Equation of a linear regression line

Lower bound for real zeros
A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

Nautical mile
Length of 1 minute of arc along the Earth’s equator.

Partial sums
See Sequence of partial sums.

Quotient identities
tan ?= sin ?cos ?and cot ?= cos ? sin ?

Rational numbers
Numbers that can be written as a/b, where a and b are integers, and b ? 0.

Remainder theorem
If a polynomial f(x) is divided by x  c , the remainder is ƒ(c)

Sequence of partial sums
The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

Tangent line of ƒ at x = a
The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

Vertices of an ellipse
The points where the ellipse intersects its focal axis.

Weights
See Weighted mean.