Solution-Find the volume of the ring

Find the volume of the ring

Reference no: EM131085966

1. A hole is cut through the center of a sphere of radius r. The height of the remaining spherical ring is h. Find the volume of the ring (two ways), and show that it is independent of the radius of the sphere.

2. Set up and evaluate the definite integral that gives the length of the graph of f (x) = (e^3x + e^-3x)/6 over the interval 0 ≤ x ≤ 2.

3. Set up and evaluate the definite integral that gives the surface area of a sphere of radius a. (I suggest taking the curve x² + y² = a² about the x-axis.)

Reference no: EM131085966

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Find the volume of the ring : A hole is cut through the center of a sphere of radius r. The height of the remaining spherical ring is h. Find the volume of the ring (two ways), and show that it is independent of the radius of the sphere.

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Find the volume of the ring

Reference no: EM131085966

Reference no: EM131085966

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