Two similar cones have proportional dimensions. Find the ratio between radii of these cones:
[tex] k=\dfrac{3}{2} [/tex].
The ratio between volumes of similar cones is
[tex] \dfrac{V_{large}}{V_{small}}=k^3 [/tex].
If volume of large cone is 66 cub. cm, then
[tex] \dfrac{66}{V_{small}}=(\dfrac{3}{2} )^3=\dfrac{27}{8},\\V_{small}=\dfrac{66\cdot 8}{27} =19.(5)\approx 19.6 [/tex]cub. cm.
Answer: 19.6 cub. cm.
