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