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Help please anyone, i'll really appreciate it

Help please anyone, i'll really appreciate it-example-1
User Haluzak
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Answer:

best choice: 69.08 cubic inches

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

___

Using the inappropriate value 3.14 for pi gives the volume incorrectly as ...

V = 22·3.14 in^3 = 69.08 in^3

User ChrisJD
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