Consider these problems. Consider the region {shown above] bounded by the graphs of y = [m Rig and 3;: =1. when this region is revolved about the x axis, what is the volume of the resulting solid? when this region is revolved about the horizontal line 3,- = 4. what is the volume of the resulting solid? Plan the approach for each problem. Advice: set up [but do not evaluate} integrals to solve these problems on paper. Then, answer the following questions: - when the region is revolved about the xaxis. we can use the method of disks V . - when the region is revolved about the horizontal line 7,: 4-, we can use the mfthOd 0f waShEVS V . The "radius" or "radii" will be different for each problem. A student considered several possible integrals: A] of; (4 [x 2)2)2 d2". Bhrfu' ([(rr: 2):]2 + 42) d3: emf; (42 [[3: eff) (is: - Integral A V nds the volume of the solid when the region is revolved about the x-axis . Integral C V nds the volume of the solid when the region is revolved about the line y 4. Plan the approach for each problem. Select Advice. set up {but do not evaluate) integrals to solve these prol [ ] lE following questions: method of washers - When the region is revolved about the xraxis. we can use th- J method of disk? ' _ - When the region is revolved about the horizontal line 1,1 4-, we can use the method 0" washers V . The "radius" or "radii" will be different for each problem. A student considered several posslble integrals. A] f; (4 [x 2)?)2 a, and: (ll? - lelz + 49) to; CJ'FFJ: (42 _ [(3 _ mgr) dd; - Integral A V nds the volume of the solid when the region is revolved about the x-axis. - Integral C V nds the volume of the solid when the region is revolved about the line y 4., Plan the approach for each problem. Advice: set up [but do not evaluate} integrals to solve these problems on paper. Then, answer the following questions: - When the region is revolved about the xaXIs' we can use the melhod Didisw "- [ Salad ] - When the region is revolved about the horizontal line 7; 4-,we can use th: J method 0' Washers ' . method of disk: The "radius" or "radii" will be different for each problem. A student considered several possible integrals: . 2 A] it]? (4 [3: 2):) dz 4 2 Z a Ehrfn [(rr: 2) ] -l 4' d3: 4 2 2 2 CJ'Jrfu 4 [[31 2) ] d3: - Integral A V nds the volume of the solid when the region is revolved about the x-axis. - Integral C V nds the volume of the solid when the region is revolved about the line :9 4. Plan the approach for each problem. Advice: set up (but do not evaluate} integrals to solve these problems on paper. Then, answer the following questions: - When the region is revolved about the xaxis. we can use the method 0' disks V . - When the region is revolved about the horizontal line 1,1 4, we can use the memo" 0f ""35"" V . The "radius" or "radii" will be different for each problem; A student considered several possible integrals: A] of"; (4 [:c 2:12)2 d2". Brianf; ([(rr: 23312 + 42) d3: CJ'JTj: (12 [[u: 21212] do: [ Select ] - Integra J A ' nds the volume of the solid when the region is revolved about the x-axis. B _ . Integr: c ' nds the volume of the solid when the region is revolved about the line y 4. Plan the approach for each problem. Advice.- set up [but do not evaluate} integrals to solve these problems on paper. Then, answer the following questions: - When the region is revolved about the xaxis. we can use the method oi disks V _ - When the region is revolved about the horizontal line 1; 4, we can use the mmd 0f waSherS V . The "radius" or "radii" will be different for each problem. A student considered several possible integrals.- A] f: (4 [:r 2J2)2 rim Bhrf: ([E'" mgr + 42) (3: clarfu' (42 _ lru. _ mil" ,h. [ Select ] - Integra B ' nds the volume of the solid when the region is revolved about the x-auis. A _ - Integra J C ' nds the volume of the solid when the region is revolved about the line 7,: 4