D VOLUMES By CROSS SECTIONS: SEMICIRCLES This shape is the dimensional representation of the volume of cro. - sectionul areas of semicircles. The volume of Is shape is calculated by these equations: Area of a semi role : F ( x ) = 45 x This is the Function 2 S . of the "template" that our 3- dimensional volume model is ( diameter bosed on. height of the Function - S 10 15 20 X = 45X height 2 =radius of the cil 4 5x = 25X To get the totul volume of our model, we use integrals : 2 [ Der? dy is the theoretical volume of the model. But this is not 700% identical with the actual volume of the model calculations : Statement : 525 IP (2 dx 7 525 29125 ) = dx Our actual model volume must be pretty close to the theoretical volume . Even though our calculations = 5252(125x)(25x) dix are correct, we might not have cut 2 ox dx the slices of the semicircles 470 0 - 525 451 x dx =231 x2/25 accurately . Math can be perfect , but our Flawed human hands 2 = 256 . 372.5 cannot = 1 25x dx = 625 JP = 1963.5 cm All Action Demirok G- 12