Find the radius of a solid sphere that has a volume of $10$ m$^3$.
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Find the radius of a solid sphere that has a volume of $10$ m$^3$.
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Volume V = (4/3) * pi * r^3 = 10. r^3 = 30 / (4 * pi) = 7.5 / pi approx 2.387. r = cuberoot(2.387) approx 1.336 m.
Using the volume of a sphere formula, V equals four thirds times pi times radius cubed, we solve for radius by isolating the radius term: 10 times 3 divided by 4 times pi equals radius cubed. Taking the cube root of 2.387 gives a radius of approximately 1.336 meters.