Answer:
19.5
Step-by-step explanation:
The Volume of a cone is h/3(r²)[tex]\pi[/tex]
That means, for the larger cone,
66=h/3(3²)([tex]\pi[/tex])
66=h/3*9[tex]\pi[/tex]
66/9[tex]\pi[/tex]*3=h
h=7, so the height of the larger cone is seven
Since the cones are similar, it has to have the same ratio. 7/3 of 2 is 4.6666. So the height of the smaller cone is 4.66666.
Putting that in the formula,
V=(4.66666/3)(2²)[tex]\pi[/tex]
V=1.555555*4*[tex]\pi[/tex]
V=19.547
