Mathematics: The radius of the large sphere is 3 times longer than the radius of the small sphere. how many times smaller than the volume of the large sphere is the volume of the small sphere?

The radius of the large sphere is 3 times longer

doggosbepis

17.01.2022

The volume of the smaller sphere is times smaller than the volume of the larger sphere

Step-by-step explanation:

we know that

If two figures are similar then, the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-------> the scale factor

x-------> the volume of the larger sphere

y-------> the volume of the smaller sphere

$z^{3}=\frac{x}{y}$

In this problem we have

z=3

substitute

$3^{3}=\frac{x}{y}$

$27=\frac{x}{y}$

y=x/27 -----> The volume of the smaller sphere is times smaller than the volume of the larger sphere

x=27y -----> The volume of the larger sphere is times greater than the volume of the smaller sphere

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