document.write( "Question 632459: A cone has a height of 15 ft, a slant height of 18 ft, and a base circumference of 62.8 ft. What is the lateral surface area of the cone? \n" ); document.write( "
Algebra.Com's Answer #398298 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
A cone has a height of 15 ft, a slant height of 18 ft, and a base circumference of 62.8 ft. What is the lateral surface area of the cone?
\n" ); document.write( "**
\n" ); document.write( "formula for lateral surface area of the cone: πr√(r^2+h^2), r=radius of circular base, h=height
\n" ); document.write( "circumference=2πr=62.8
\n" ); document.write( "r=62.8/2π=9.99
\n" ); document.write( "note: r can also be calculated using given slant height and height using the pythagorean theorem:
\n" ); document.write( "r=√(18^2-15^2)=√99≈9.95
\n" ); document.write( "we will use the first number.
\n" ); document.write( "πr√(r^2+h^2)
\n" ); document.write( "=π*9.99√(9.99^2+15^2)
\n" ); document.write( "=31.38√324.8
\n" ); document.write( "≈565.54
\n" ); document.write( "lateral surface area of the cone=565.54 sq ft \n" ); document.write( "
\n" );