If the radius of a solid object increases 6 times, the volume of the object will increase how many times?

The volume will increase by 216 time of the original volume

Solution:

A sphere is a solid object.

Now, the volume of sphere is given by:

where

R = radius of the sphere

In the question the radius is increased 6 times, therefore, the new radius is:

R' = 6R

From the formula for the volume of sphere:

The volume of the sphere now becomes:

Thus the new volume will become 216 times of the original volume

i think it’s a. this is because if they measured the mass of something with a mass of 150g, then their final answer would have to be approximately 150g. though all of their answers are almost 150, rosa and tran have the closest answers (or the exact answer) to the accurate one.