document.write( "Question 1057185: The volume of a right circular cylinder is 294(pi) cm^3. If the height is 1 cm less than its radius, what is its total surface? \n" ); document.write( "
Algebra.Com's Answer #672257 by rothauserc(4718)\"\" \"About 
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The volume(V) of a right circular cylinder is
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\n" ); document.write( "V = pi * r^2 * h, where r is the radius and h is the height
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\n" ); document.write( "We are given that
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\n" ); document.write( "h = r - 1
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\n" ); document.write( "1) pi * r^2 * (r - 1) = 294 * pi
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\n" ); document.write( "r^3 - r^2 - 294 = 0
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\n" ); document.write( "this cubic has one real solution and two imaginary ones
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\n" ); document.write( "note the factors are
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\n" ); document.write( "(r - 7) * (r^2 +6r +42) = 0
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\n" ); document.write( "we want r = 7
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\n" ); document.write( "surface area(SA) = (2*pi*r*h) + (2*pi*r^2)
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\n" ); document.write( "SA = (2*pi*7*6) + (2*pi*7^2) = 571.7699 cm^2
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