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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

Verified Answer :

Azieq

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

JeanaShupp

Answer: \(1436.03\ cm^3\)

Step-by-step explanation:

The volume of sphere is given by :-

\(V=\dfrac{4}{3}\pi r^3\), 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, \(r=\dfrac{14}{2}=7\ cm\)

Now, the volume of sphere will be :-

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

Therefore, the volume of a sphere= \(1436.03\ cm^3\)

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