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Amiraneli [1.4K]
2 years ago
8

These cylinders are similar. Find the volume of

Mathematics
1 answer:
Basile [38]2 years ago
3 0

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.

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