Respuesta :

Answer:

2145 cm3

Step-by-step explanation:

Volume is a three-dimensional scalar quantity. The volume of the sphere is 2,145 cm³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.


The volume
of the sphere is given by the formula,

[tex]\text{Volume of the sphere} = \dfrac43 \pi r^3[/tex]

Given that the diameter of the sphere is 16 cm, therefore, the radius of the sphere is 8 cm. Now, the volume of the sphere can be written as,

[tex]\text{Volume of the sphere} = \dfrac43 \pi r^3[/tex]

                                 [tex]=\dfrac43 \pi r^3\\\\=\dfrac43 \times \pi \times (8)^3\\\\= 2,144.66\ cm^3 \approx 2,145\ cm^3[/tex]

Hence, the volume of the sphere is 2,145 cm³.

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