What is the volume of a sphere with a diameter of 14 centimeters? Use 3.14 for pi. Round your answer to the nearest hundredth.
1077.02 cm3
1436.03 cm3
1975.43 cm3
11,494.04 cm3

Respuesta :

Azieq
Volume = 4/3 × 3.14 × 7^3
Volume = 1436.03 cm^3

Answer: [tex]1436.03\ cm^3[/tex]

Step-by-step explanation:

The volume of sphere is given by :-

[tex]V=\dfrac{4}{3}\pi r^3[/tex], where r is the radius of the sphere.

Given : Diameter of sphere =  14 centimeters

We know that the diameter of sphere 2 times the radius.

then, [tex]r=\dfrac{14}{2}=7\ cm[/tex]

Now, the volume of sphere will be :-

[tex]V=\dfrac{4}{3}(3.14)(7)^3\\\\\text{Simplify}\\\\\Righatrrow\ V=1436.02666667\approx1436.03\ cm^3[/tex]

Therefore, the volume of a sphere= [tex]1436.03\ cm^3[/tex]

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