Doubling the inside diameter of a well will increase its cross sectional area by...

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Multiple Choice

Doubling the inside diameter of a well will increase its cross sectional area by...

Explanation:
For a circular cross-section, the area depends on the diameter squared. The area is A = (π/4) d^2, since radius r = d/2 and A = πr^2. If the inside diameter doubles from d to 2d, the new area becomes A' = (π/4) (2d)^2 = (π/4) · 4d^2 = 4 · (π/4 d^2) = 4A. So the cross-sectional area increases by four times. This happens because doubling the diameter also doubles the radius, and area grows with the square of the radius.

For a circular cross-section, the area depends on the diameter squared. The area is A = (π/4) d^2, since radius r = d/2 and A = πr^2.

If the inside diameter doubles from d to 2d, the new area becomes A' = (π/4) (2d)^2 = (π/4) · 4d^2 = 4 · (π/4 d^2) = 4A. So the cross-sectional area increases by four times. This happens because doubling the diameter also doubles the radius, and area grows with the square of the radius.

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