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Home » x^2 - 2x + 3x - 6 = x^2 + x - 6 - Red Crowns

x^2 - 2x + 3x - 6 = x^2 + x - 6 - Red Crowns

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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The volume \( V \) of a cone is given by:
V = \frac{1}{3} \pi r^2 h
For the original cone:
V_1 = \frac{1}{3} \pi (5)^2 (12) = \frac{1}{3} \pi \times 25 \times 12...
When the radius is doubled to 10 cm, the new volume \( V_2 \) is:
V_2 = \frac{1}{3} \pi (10)^2 (12) = \frac{1}{3} \pi \times 100 \times...
The factor of increase is:
\frac{V_2}{V_1} = \frac{400\pi}{100\pi} = 4
Thus, the volume increases by a factor of:
\boxed{4}

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