Question

These cylinders are similar. Find the volume of

the smaller cylinder. Round to the nearest tenth.
5 cm
|3 cm
Volume = [? ] cm3
Volume = 393 cm3

Answer 1

The answer would be 84.9cm^3

Explanation:

You welcome fill in the box

84.9

Answer 2

`V_s=85\ cm^3`

Explanation:

Let
`V_s\ and\ V_b` be the volumes of the smaller and bigger cylinder.

The formula for the volume of a cylinder is given by :

`V=\pi r^2 h`

As the two triangles are similar, the cube of their ratio would equal the ratio of their volume i.e.

`(V_s)/(V_b)=((h_s)/(h_b))^3\\\\(V_s)/(V_b)=((3)/(5))^3\\\\(V_s)/(V_b)=0.216\\\\V_s=393* 0.216\\\\V_s=84.8\\\\or\\\\V=85\ cm^3`

So, the volume of the smaller cylinder is equal to
`85\ cm^3`.