Answer:
best choice: 69.08 cubic inches
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3·π·r^2·h
The formula for the volume of a cylinder is ...
V = π·r^2·h
That is, the volume of a cone is 1/3 the volume of a cylinder with the same dimensions. In this case, the cone shape at the end has the same volume as a cylinder 1/3·(3 in) = 1 in long. So, the overall volume is equivalent to a cylinder of radius 1 inch and length 22 inches.
Putting these numbers into the cylinder formula, we find the volume to be ...
V = π·(1 in)^2·(22 in) = 22π in^3
Using an appropriate value for pi, we find ...
V = 22·3.1416 in^3 ≈ 69.12 in^3
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Using the inappropriate value 3.14 for pi gives the volume incorrectly as ...
V = 22·3.14 in^3 = 69.08 in^3
