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Home » Divide the entire equation by 4: \( x^2 + 25x - 84 = 0 \). - Crosslake

Divide the entire equation by 4: \( x^2 + 25x - 84 = 0 \). - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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The volume \( V \) of a truncated cone is given by the formula:
\[ V = \frac{1}{3} \pi h (R_1^2 + R_1 R_2 + R_2^2) \]
where \( R_1 \) is the top radius and \( R_2 \) is the bottom radius....
\[ V = \frac{1}{3} \pi h ((3r)^2 + (3r)(r) + r^2) \]
\[ V = \frac{1}{3} \pi h (9r^2 + 3r^2 + r^2) \]
\[ V = \frac{1}{3} \pi h (13r^2) \]
\[ V = \frac{13}{3} \pi hr^2 \]
Now, substituting \( r = 2 \) and \( h = 5 \):
\[ V = \frac{13}{3} \pi (5) (2)^2 \]
\[ V = \frac{13}{3} \pi \times 5 \times 4 \]

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