document.write( "Question 894172: I have a problem I need help with. The problem is asking me to find the volume of a tall soft drink cup which has a top radius of 1.5, height of 8, and bottom radius of 1. The problem wants me to give the answer in fraction form? \n" ); document.write( "
Algebra.Com's Answer #541847 by Edwin McCravy(20065)\"\" \"About 
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I have a problem I need help with. The problem is asking me to find the volume of a tall soft drink cup which has a top radius of 1.5, height of 8, and bottom radius of 1. The problem wants me to give the answer in fraction form?
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document.write( "Weird-looking cup! That drawing is to scale.  Oh well!\r\n" );
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document.write( "The formula for the volume of a paper cup (or a lamp shade if upside down)\r\n" );
document.write( "is found at this site:\r\n" );
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document.write( "http://calculus-geometry.hubpages.com/hub/Volume-of-a-Truncated-Cone-Conical-Frustum#\r\n" );
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document.write( "\"V=%28pi%2F3%29%28h%29%28b%5E2+%2B+ab+%2B+a%5E2%29\" where a and b are the two radii, it doesn't matter which is which.\r\n" );
document.write( "And h = the height.\r\n" );
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document.write( "Since you want fraction form, we'll change the decimal 1.5 to a fraction\r\n" );
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document.write( "\"1.5=1%261%2F2=3%2F2\"\r\n" );
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document.write( "And we'll use the approximate fraction for \"pi\" which is \"3%261%2F7=22%2F7\"\r\n" );
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document.write( "\"V=%28pi%2F3%29%28h%29%28b%5E2+%2B+ab+%2B+a%5E2%29\"\r\n" );
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document.write( "\"V=%28%2822%2F7%29%2F3%29%288%29%28%283%2F2%29%5E2+%2B+%283%2F2%29%281%29+%2B+%281%29%5E2%29\"\r\n" );
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document.write( "Invert the 3 and multiply.  Simplify the parentheses on the right.\r\n" );
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document.write( "\"V=%28%2822%2F7%29%281%2F3%29%29%288%29%289%2F4+%2B+3%2F2+%2B+1%29\"\r\n" );
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document.write( "Get LCD of 4 in the parentheses on the right:\r\n" );
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document.write( "\"V=%2822%2F21%29%288%29%289%2F4+%2B+6%2F4+%2B+4%2F4%29\"\r\n" );
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document.write( "\"V=%28176%2F21%29%2819%2F4%29\"\r\n" );
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document.write( "The 4 on the bottom of the second fraction goes into the 176 \r\n" );
document.write( "on the top of the first fraction 44 times.  So we have:\r\n" );
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document.write( "\"V=%2844%2F21%29%2819%2F1%29\"\r\n" );
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document.write( "Multiply tops and bottoms:\r\n" );
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document.write( "\"V=836%2F21\"\r\n" );
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document.write( "\"V=39%2617%2F21\", the fraction form\r\n" );
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document.write( "Edwin
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