Math assingment i’ve tried doing it somewhat but im neither sure if im heading to the right direction nor can i

Question

Math assingment, i’ve tried doing it somewhat, but im neither sure if im heading to the right direction nor can i

complete either of them. Any help would be appreaciated!

2. Theregionhomdedhytheeurvea x=3y2—2,x=y2. andtheliuey=0 istoberevolvedabout
the x—axis to generate a solid. Find the volume of the solid using
(a) the disk method; [10]
(b) the shell methoti. [10] 3. Theregionboundedbythecme y = 51111:, x = O, x = a: and y = c, (0 S c S I), isrevolvedabout
theline y = c toyeneratethe solid. (3) Find the-value of C thatminimizea the volume ofthe solid. What is theminimum volume? [15] (b) What value of r: in [0.1] maximizes thevolume of the solid? [5] (c) Graphtheaolid‘a volmueasafimetionof c, firstfor 05:51 andthenonalarger domain. Whathappenatothevolumeoftheaolidas r: moveaawayfiom [0,1]? Doeathis makeaenae physically? Give reasons foryourauaweia. [10] -END-
Math