document.write( "Question 1053928: The volume of a sphere is 904.78 cu. m. Find the volume of the spherical segment of height 4 m. \n" ); document.write( "
Algebra.Com's Answer #669194 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! Volume(Vs) of a sphere = (4/3) * pi * r^3, where r is the radius and pi is (22/7) \n" ); document.write( ": \n" ); document.write( "I assume that the problem's spherical segment has one base \n" ); document.write( ": \n" ); document.write( "V(ss) = (1/3) * pi * h^2 * (3R - h), where h is the height, R is the radius \n" ); document.write( ": \n" ); document.write( "904.78(Vs) = (4/3) * (22/7) * r^3 \n" ); document.write( ": \n" ); document.write( "r^3 = 904.78 * 21 / 88 \n" ); document.write( ": \n" ); document.write( "r = 5.9992 m \n" ); document.write( ": \n" ); document.write( "V(ss) = (1/3) * (22/7) * 4^2 * (3*5.9992-4) = 234.6264 approx 234.63 \n" ); document.write( ": \n" ); document.write( "********************************************** \n" ); document.write( "The volume of spherical segment is 234.63 cu m \n" ); document.write( "********************************************** \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |