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```    1 ##KEYWORDS('integral', 'volume')
2 ##DESCRIPTION
3 ##  Compute a volume of revolution
4 ##ENDDESCRIPTION
5
6 ## AmberHolden tagged
7 ## Shotwell Cleaned
8
9 ## DBsubject('Calculus')
10 ## DBchapter('Applications of Integration')
11 ## DBsection('Volumes')
12 ## Date('6/3/2002')
13 ## Author('')
14 ## Institution('')
15 ## TitleText1('Calculus Early Transcendentals')
16 ## EditionText1('4')
17 ## AuthorText1('Stewart')
18 ## Section1('6.2')
19 ## Problem1('1,2,3')
20
21
22 DOCUMENT();        # This should be the first executable line in the problem.
23
24 loadMacros(
25 "PGbasicmacros.pl",
26 "PGanswermacros.pl",
27 "PGauxiliaryFunctions.pl"
28 );
29
30 TEXT(beginproblem());
31 \$showPartialCorrectAnswers = 1;
32
33 \$a=random(2, 9);
34 \$soln ="\$a*\$a*pi/5";
35
36 BEGIN_TEXT
37
38 Find the volume of the solid obtained by rotating the region bounded by
39 \[ y=\$a x^2, x = 1, y = 0, \]
40 about the \(x\)-axis.
41
42 \$BR \$BR Answer: \{ans_rule( 15) \}
43 \$BR
44 END_TEXT
45 ANS(num_cmp(\$soln));
46
47 ENDDOCUMENT();        # This should be the last executable line in the problem.
```

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