Multiple choice

The radius of a circle is $2r$, then the volume will be

  1. $\dfrac{4}{3}\pi r^{3}$
  2. $4\pi r^{3}$
  3. $\dfrac{8\pi r^{3}}{3}$
  4. $\dfrac{32}{3}\pi r^{3}$
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D Correct answer
Explanation

The volume of a sphere is (4/3)pi*R^3. Given radius R = 2r, the volume is (4/3)*pi(2r)^3 = (4/3)*pi*8r^3 = (32/3)*pi*r^3.

AI explanation

Assuming the question refers to a sphere, the formula for its volume is four thirds times pi times the radius cubed. Substituting the radius 2r gives four thirds times pi times 2r cubed, which simplifies to 32 thirds times pi times r cubed.

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