Provide an appropriate response.The region bounded by the lines x = 2, x = 6, y = -2, and y = 1 is revolved about the y-axis to form a solid. Explain how you could use elementary geometry formulas to verify the volume of this solid.

Question

What will be an ideal response?

Answer 1

The resulting solid is a cylindrical shell whose volume is given by V = ?h, where r₁ is the outer radius, r₂ is the inner radius, and h is the height. Since r₁ = 6, r₂ = 2 and h = 3, V = ?3 = 96?.