Use cylindrical shells to find the volume V of the solid.A sphere of radius r
Question
Use cylindrical shells to find the volume V of the solid.A sphere of radius r
Solution
The volume V of a sphere using cylindrical shells can be found using the formula for the volume of a sphere, which is given by:
V = 4/3 * π * r³
Here's the step-by-step process:
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Identify the radius of the sphere. The problem should provide this.
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Cube the radius. That means multiply the radius by itself twice. For example, if the radius is 3, then cubing the radius gives 27.
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Multiply the cubed radius by 4/3.
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Multiply the result by π.
The result is the volume of the sphere.
For example, if the radius of the sphere is 3, the volume would be:
V = 4/3 * π * 3³ = 4/3 * π * 27 = 36π cubic units.
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