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For a sphere with a volume of v cubic meters, which of the following expressions represents the radius, in meters?

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Final answer:

The radius of a sphere, given its volume, can be calculated using the formula R = cubed root of (3V/4π), where V stands for volume and R stands for radius. The formula reveals that the radius is derived from the cube root of the product of thrice the volume and 1/4π.

Step-by-step explanation:

The volume of a sphere is given by the formula V = (4/3)πR³, where V represents the volume and R represents the radius. If you are given the volume and need to solve for the radius, you can manipulate the formula by multiplying all sides by 3/4 and then taking the cubed root, thereby isolating R. The resulting formula is R = cubed root of (3V/4π).

Here's an example. For a sphere with a volume of 125 cubic meters, the radius will be calculated as R = cubed root of (3 * 125 / (4 * π)) approximately equals 2.92 meters.

Learn more about Radius of a Sphere

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