7.a. A 3×5 rectangle is revolved about one of its sides of length 5 to create a solid of revolution.Find volume of the solid. b.A 3-4-5 right triangle is revolved about a leg of length 4 to create a solid of revolution. Describe the solid.c. A 3-4-5 right triangle is revolved about its legs to create two solids. Find the volume of each solid

Answer:a. 45 πb. 12 πc. 16 πStep-by-step explanation:a.If a 3×5 rectangle is revolved about one of its sides of length 5 to create a solid of revolution, we can see a cilinder with:Radius: 3Height: 5Then the volume of the cylinder is:V=π*r^{2} *h= π*(3)^{2} *(5) = π*(9)*(5)=45 πb. If a 3-4-5 right triangle is revolved about a leg of length 4 to create a solid of revolution. We can see a cone with:Radius: 3Height: 4Then the volume of the cone is:V=(1/3)*π*r^{2} *h= (1/3)*π*(3)^{2} *(4) = (1/3)*π*(9)*(4)=12 πc. We can answer this item using the past (b. item) and solving for the other leg revolution (3):Then we will have:Radius: 4Height: 3Then the volume of the cone is:V=(1/3)*π*r^{2} *h= (1/3)*π*(4)^{2} *(3) = (1/3)*π*(16)*(3)=16 π