document.write( "Question 462613: A large grain silo consists of a cylinder measuring 30 feet tall, a diameter at the base of 18 feet, and a hemisphere (half-dome) on top. How many gallons of paint will be required to paint this silo if a gallon of the paint to be used covers 500 square feet? \n" ); document.write( "
Algebra.Com's Answer #319492 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A large grain silo consists of a cylinder measuring 30 feet tall, a diameter at the base of 18 feet, and a hemisphere (half-dome) on top. How many gallons of paint will be required to paint this silo if a gallon of the paint to be used covers 500 square feet. \n" ); document.write( "... \n" ); document.write( "formulas used: \n" ); document.write( "Surface area of sphere=4πr^2 \n" ); document.write( "Circumference = 2πr \n" ); document.write( "r=diameter/2=18/2=9 ft \n" ); document.write( "height, h=30 ft \n" ); document.write( ".. \n" ); document.write( "Surface area of half-dome=1/2*4*π*r^2=2π*81=162π \n" ); document.write( "Surface area of bottom=π*r^2=81π \n" ); document.write( "Surface area of cylinder=circumference*height=2πr*30=540π \n" ); document.write( "Total surface area of silo=(162+81+540)π=783π sq ft \n" ); document.write( "ans: \n" ); document.write( "Paint required=783π/500=4.92gal \n" ); document.write( " |