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which expression can be used to find the height of the cone below? \\(v…

Question

which expression can be used to find the height of the cone below?

\\(v = 30\text{ ft}^3\\)
\\(b = 8\text{ ft}^2\\)

  • \\(30 = \frac{1}{3}(8h)\\)
  • \\(8 = 30h\\)
  • \\(30 = 8h\\)
  • \\(8 = \frac{1}{3}(30h)\\)

Explanation:

State the volume formula and given values

$$ V = \frac{1}{3}Bh $$
$$ V = 30\text{ ft}^3,\quad B = 8\text{ ft}^2 $$

Substitute the given values into the formula

$$ 30 = \frac{1}{3}(8h) $$

Answer:

  • (A) \(30 = \frac{1}{3}(8h)\) (Correct answer)
  • (B) \(8 = 30h\)
  • (C) \(30 = 8h\)
  • (D) \(8 = \frac{1}{3}(30h)\)