Multiple choice

Find the radius of a solid sphere that has a volume of $10$ m$^3$.

  1. $1.336 m$
  2. $3.336 m$
  3. $2.336 m$
  4. None of these

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A Correct answer
Explanation

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.

AI explanation

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.