document.write( "Question 21531: The diameter of a conical paper cup is 3.5 inches, and the length of the sloping side is 4.55 inches. How much water will the cup hold? \n" ); document.write( "
Algebra.Com's Answer #11643 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! The diameter of a conical paper cup is 3.5 inches, and the length of the sloping side is 4.55 inches. How much water will the cup hold? \n" ); document.write( "VOLUME OF A CONE = V =PI*R*R*H/3 \n" ); document.write( "WE HAVE DIAMETER=3.5 INCHES...HENCE RADIUS =3.5/2=1.75 INCHES \n" ); document.write( "SLANT LENGTH =L=4.55 \n" ); document.write( "FROM PYTHOGARUS THEOREM WE HAVE L*L=H*H+R*R \n" ); document.write( "4.55*4.55=H*H+1.75*1.75 \n" ); document.write( "H*H=4.55*4.55-1.75*1.75=(4.55+1.75)(4.55-1.75)=6.3*2.8=(3*3*0.7)*(0.7*2*2) \n" ); document.write( "H=3*0.7*2=4.2 \n" ); document.write( "HENCE V=PI*1.75*1.75*4.2/3=13.475 CUBIC INCHES \n" ); document.write( " \n" ); document.write( " |