Answer:
79.73 cm³
Explanation:
When two figures are similar, the ratio of their measures is constant, so the ratio of the heights of the cones is also
9 : 16
The relation between the volume of the larger cone and the smaller cone is
V1 = k³V2
Where k is the ratio written as a fraction. So, replacing k by 9/16, we get:
[tex]\begin{gathered} V_1=(\frac{9}{16})^3V_2 \\ \\ V_1=(\frac{729}{4096})(448) \\ \\ V_1=79.73 \end{gathered}[/tex]Therefore, the volume of the smaller cone is 79.73 cm³
