MTH 252 RECWKSHT 8 WEEK 8, FALL 2022 (c) The area for a single semicircle (pictured below) can be written in terms of either the radius or diameter: 2 _ E. 2 _ I. E A _ 2 T _ 2 (2) Using part (b), at a generic 1r, write the area A as a function of :13, labelled A(cc) ((1) Finally, calculating the entire 3-dimensional volume can be done by adding an innite number of these semicircular slices together (imagined below). Using calculus, this can be done by integrating the area function 14(3) found in (c). To determine the volume, set up and evaluate the integral of the area function 141(3) from a.\" = 0 to .7; = 1