Multiple choice

Make a formula for the statement: The volume $V$ of a sphere is equal to the four-third of the cube of the radius and the product of the constant $\pi$.

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

The volume of a sphere is defined as 4/3 multiplied by pi and the cube of the radius. This corresponds to the formula V = (4/3) * pi * r^3.

AI explanation

The volume of a sphere is found using the formula V = 4/3 * pi * r^3. The statement translates the cube of the radius as r^3 and the product of constant pi and four-thirds as 4/3 * pi. Combining these terms gives the algebraic representation V = 4/3 * r^3 * pi. This corresponds to the provided formula.

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