Respuesta :

Answer:

  500 cm³

Step-by-step explanation:

Using the given values in the given formula, we find the volume to be ...

  [tex]V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}(3)(5\text{ cm})^3 = 4(125\text{ cm}^3) = \boxed{500\text{ cm}^3}[/tex]

The volume of the sphere is about 500 cubic centimeters.

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Additional comment

The actual value of pi would add about 4.72% to this figure, bringing the estimate to about 523.6 cm³.

Step-by-step explanation:      

Step 1: Formula

Solve for: Volume

Formula: V=4/3 πr^3

Explanation in words (Short Form)

-  The first step is to use the formula and simplify it. So first we will use the formula which is V = 4/3 π and then divide it by 3, 3 times.

- The second step is to solve and at the end the answer will result as 523.59. Here is the full explanation and how I solved it.

V = 4/3 π r³ = 4/3 × π × 5³ = 523.59878

Answer:  

V≈523.6

Full Answer: 523.59878 OR 500

Hope this helps.