Two similar cones have proportional dimensions. Find the ratio between radii of these cones:
[tex] k=\dfrac{R}{r}=\dfrac{5}{2} [/tex].
The ratio between volumes of similar cones is
[tex] \dfrac{V_{large}}{V_{small}} =k^3 [/tex].
Then
[tex] \dfrac{V_{large}}{V_{small}} =(\dfrac{5}{2} )^3 =\dfrac{125}{8} [/tex].
If [tex] V_{large}=131 [/tex] cub. cm, then
[tex] \dfrac{131}{V_{small}} =\dfrac{125}{8},\\ V_{small}=\dfrac{131\cdot 8}{125}=8.384\approx 8.4 [/tex] cub. cm.
Answer: [tex] V_{small}=8.4 [/tex] cub. cm.
