Question

What is the volume of a sphere with a radius of 7 centimetres?

Use 3.14 for pi. Round your answer to the nearest hundredth. Use the formula provided.
V=
1077.02 cm3
1436.03 cm3
1975.43 cm3
11,494.04 cm3

Answer 1

`V=1436.03 \ cm^3`

The second choice provides the correct answer.

Explanation:

The Volume of a Sphere

The volume of a sphere of radius r is given by:

`\displaystyle V=(4)/(3)\cdot \pi\cdot r^3`

The radius of the sphere is r=7 cm, thus:

`\displaystyle V=(4)/(3)\cdot 3.14\cdot 7^3`

`V=1436.03 \ cm^3`

Note: We have used an approximated value for pi=3.14.

The volume of the sphere rounded to the nearest hundredth is

`\boxed{V=1436.03 \ cm^3}`

The second choice provides the correct answer.