Question

These cylinders are similar. Find the volume of

Answer 1

Answer:

$V_s=85\ cm^3$

Step-by-step 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.

$\dfrac{V_s}{V_b}=(\dfrac{h_s}{h_b})^3\\\\\dfrac{V_s}{V_b}=(\dfrac{3}{5})^3\\\\\dfrac{V_s}{V_b}=0.216\\\\V_s=393\times 0.216\\\\V_s=84.8\\\\or\\\\V=85\ cm^3$

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