Multiple choice

The volume of a sphere of radius $\pi$ cm is ________ cc.

  1. $\dfrac {4\pi^{4}}{3}$
  2. $\dfrac {4}{3}\pi r^{3}$
  3. $4\pi r^{2}$
  4. $\dfrac {4}{3}\pi r^{2}$
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A Correct answer
Explanation

Volume of a sphere = (4/3)pi*r^3. Given r = pi, Volume = (4/3)*pi(pi)^3 = (4/3)*pi^4.

AI explanation

The volume of a sphere is calculated using the formula (4/3)*pi*r^3. Substituting the given radius value of pi cm into the formula gives (4/3) * pi * (pi)^3. Simplifying this expression by adding the exponents of pi results in (4*pi^4)/3.

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