Question

These cones are similar. Find the volume

Answer 1

Answer:

19.6 cm³

Step-by-step explanation:

find h for the large cone  V = πr²h/3

66 = π3²h/3

h = 22/π

As the cones are similar, the ratio of the radii will equal the ratio of the heights.

3/2 = (22/π) / h'

h' = 22/π(2/3) = 44/3π

V' = π2²(44/3π)(1/3) = 19.55555... ≈ 19.6 cm³