Question

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

Answer 1

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

Answer 2

Answer:
`1436.03\ cm^3`

Explanation:

The volume of sphere is given by :-

`V=(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=(14)/(2)=7\ cm`

Now, the volume of sphere will be :-

`V=(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`