Calculus
Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y=3x^2 and the planes z=0,z=2 and y=1.
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To find the volume of the solid, we will use a triple integral. The triple integral calculus Verify that the vertical cylinder x2 + y2 = 16, 0 ≤ z ≤ 8, is a valid solid of revolution. Let C be the curve obtained by intersecting the cylinder with the plane z = 0. In this case, C is the circle x2 + y2 = 16 with area A = π·16 ≈ calculus If a cylinder is inscribed in a sphere of radius r: a) find the volume of the largest cylinder that can be inscribed in the sphere; b) what are the dimensions of this cylinder? a) V=pi*r^2*h, where h is the height of the cylinder. Since the
