document.write( "Question 922005: 1)in a polygon there are 6 right angles and the remaining angles are all equal to 200 degree each the number of sides the polygon has ? \r
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\n" ); document.write( "2) the ratio between the radius of the base and the height of the cylinder is 2 :3 if the volume is 1617 cm cube the total surface area of cylinder is ?
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Algebra.Com's Answer #559334 by multiplier(8)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( " let r=radius of the base of the cylinder
\n" ); document.write( " h= height of the cylinder
\n" ); document.write( " the ratio between the radius of the base and the height is 2:3
\n" ); document.write( " this means that if you divide the radius by the height of the cylinder
\n" ); document.write( " quotient is 2/3 so: r/h=2/3
\n" ); document.write( " solving for h:
\n" ); document.write( " h=3r/2 (equation 1)
\n" ); document.write( " the volume of the cylinder is 1617 cm cube
\n" ); document.write( " v=area of the base multiplied by its height
\n" ); document.write( " v=pi*r^2(h) (equation 2)
\n" ); document.write( " substitute value of h from (equation 1) in (equation 2)
\n" ); document.write( " v=pi*r^2(3r/2)
\n" ); document.write( " v= 3/2(pi)r^3
\n" ); document.write( " equating v to the given volume which is 1617 cm cube:
\n" ); document.write( " 3/2(pi)r^3=1617
\n" ); document.write( " r^3=1617*2/(3*pi), r^3 = 343, r= 7cm
\n" ); document.write( " solving for h in equation 1:
\n" ); document.write( " h=3r/2
\n" ); document.write( " h= 3*7/2= 10.5 cm
\n" ); document.write( " surface area= base perimeter times height
\n" ); document.write( " SA= 2*pi*r*h where pi=3.1416
\n" ); document.write( " SA= 2*3.1416*7*10.5
\n" ); document.write( " SA= 461.82 sq. cm
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