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Quiz 1: Calculus III - Volume of Solids Obtained by Rotation, Quizzes of Analytical Geometry and Calculus

The solutions to quiz 1 for the calculus iii course, specifically focusing on finding the volumes of solids obtained by rotating regions about the z-axis and y-axis using the methods of cylindrical shells.

Typology: Quizzes

2010/2011

Uploaded on 08/11/2011

daggett2
daggett2 🇺🇸

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MCtth208-01 Summer 2011 Quiz 1
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2. Find the volume of the solid obtained by rotating the region bounded by
y
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x
and
y
=
x2
about the z-axis,
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MCtth 208-01 Summer 2011 Quiz 1

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  1. Find the volume of the solid obtained by rotating the region bounded by y = x and y = x^2 about the z-axis,

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  1. Use the method of cylindrical shells to find the volume of the solid obtained by

rotation the region bounded by y = x^3 and x = 1 about the y-axis.

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