Respuesta :

The answer to this equation is 3,053.628


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Answer:  The required volume of the given sphere is 3052 cm³.

Step-by-step explanation:  We are given to find the volume of a sphere with a diameter of 18 cm.

We know that

the VOLUME of a sphere with radius of length r units is given by

[tex]V=\dfrac{4}{3}\pi r^3.[/tex]

The diameter of the given sphere is 18 cm, so the radius of the sphere will be

[tex]r=\dfrac{18}{2}=9~\textup{cm}.[/tex]

Therefore, the VOLUME of the given sphere is given by

[tex]V\\\\\\=\dfrac{4}{3}\pi r^3\\\\\\=\dfrac{4}{3}\times 3.14\times 9^3\\\\\\=4.187\times 729\\\\=3052.323.[/tex]

Rounding to nearest whole number, we get

V = 3052 cm³.

Thus, the required volume of the given sphere is 3052 cm³.

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