9514 1404 393
Answer:
18.8 cubic inches
Step-by-step explanation:
The formula for the volume of a cone is useful:
V = 1/3πr²h
Where r is half the diameter, we can use r=d/2 to write this in terms of diameter:
V = 1/3π(d/2)²h = (π/12)d²h
For the given dimensions, the volumes are ...
large cone: v = (π/12)(4.5 in)²(5.1 in) ≈ 27.04 in³
small cone: v = (π/12)(3 in)²(3.5 in) ≈ 8.25 in³
Then the difference in volume is ...
(27.04 -8.25) in³ ≈ 18.8 in³
The larger cone has about 18.8 cubic inches more volume.
