Set 12: Linear Equations (Advanced)

Explanation

Answer: D

Solve S = 2πrh + 2πr² for h.

Solve for h.

h = S - 2πr² - 2πr

h = (S - r) / 2π

h = S / 2πr - 2πr²

h = (S - 2πr²) / 2πr

✓ Correct

Detailed Explanation

Choice D is correct. Subtract 2πr²: S - 2πr² = 2πrh. Divide by 2πr: h = (S - 2πr²) / 2πr.

Key Steps:

•

The correct answer is h = (S - 2πr²) / 2πr

Why others are wrong:

A: Choice A is incorrect and may result from a calculation error.

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

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