Answer:
29.30cm^3
Step-by-step explanation:
If the two cone are similar then the heights are the same
let us find the height of the bigger cone
[tex]volume of cone= \frac{1}{3} \pi r^2h[/tex]
For the bigger cone
r= 3cm
v= 66cm^3
[tex]66=\frac{1}{3}*3.142*3^2*h\\ 66=\frac{28.278}{3} *h\\h*28.278=198\\h=\frac{198}{28.278} =7cm[/tex]
For the smaller cone
r=2cm
v=?
h=7cm
[tex]v=\frac{1}{3}*3.142*2^2*7\\\v=\frac{87.976}{3} \\\\\v=29.30cm^3[/tex]
