For each of the solids S described below: (1) write 1-2 sentences to describe each of...

 

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For each of the solids S described below: (1) write 1-2 sentences to describe each of the given solids as a solid of revolution. Your description should include a well-defined region R and an axis of rotation (either the x-axis or y-axis) that is used to form the solid, (2) Sketch R, and (3) set-up and evaluate an integral that computes the volume of each solid. Be sure to name the method. you are using to set-up the volume integral. Assume r> 0 and h> 0. (a) S is a sphere with radius r. (b) S is a right circular cone with base radius r and height h. y For each of the solids S described below: (1) write 1-2 sentences to describe each of the given solids as a solid of revolution. Your description should include a well-defined region R and an axis of rotation (either the x-axis or y-axis) that is used to form the solid, (2) Sketch R, and (3) set-up and evaluate an integral that computes the volume of each solid. Be sure to name the method. you are using to set-up the volume integral. Assume r> 0 and h> 0. (a) S is a sphere with radius r. (b) S is a right circular cone with base radius r and height h. y