If the radius of a sphere is reduced to one-third, by how many times does its
volume decrease?

It can be concluded that reducing the radius to one-third will reduce the volume of sphere 1/27 times

Step-by-step explanation:

The volume of a sphere is given by the following formula:

Here r is the radius of the sphere

Reducing the radius of sphere to one-third means dividing the radius by three. So the new radius will be:

The new volume with the new radius will be:

The new volume is 1/27 times of the original volume.

Hence,

It can be concluded that reducing the radius to one-third will reduce the volume of sphere 1/27 times

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice