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Home » 4 of Swords Reversed: The Dark Magic You Need to Understand Today! - Appcentric

4 of Swords Reversed: The Dark Magic You Need to Understand Today! - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 V_1 = \frac{1}{3} \pi (5)^2 (12) = \frac{1}{3} \pi \times 25 \times 12 = 100\pi \text{ cm}^3

📌 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 12 = 400\pi \text{ cm}^3

📌 The factor of increase is:

📌 \frac{V_2}{V_1} = \frac{400\pi}{100\pi} = 4

📌 Thus, the volume increases by a factor of:

📌 Question:** A cylinder has a height equal to twice its radius. If the height is increased by 50% and the radius is decreased by 20%, what is the ratio of the new volume to the original volume?

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\(x^3 - 3x^2 + 2x = x((5x - 6) - 3x + 2) = x(2x - 4) = 2x^2 - 4x\).
Substituez \(x^2 = 5x - 6\) de nouveau : \(2(5x - 6) - 4x = 10x - 12 -...
Pour \(x = 2\), \(6(2) - 12 = 0\). Pour \(x = 3\), \(6(3) - 12 = 6\).
La valeur est cohérente avec les calculs, donc les valeurs possibles s...
#### 0 ou 6
Un rectangle a une longueur qui est le double de sa largeur. Si le pér...
Soit la largeur \(w\). Alors la longueur est \(2w\).
Périmètre = \(2(w + 2w) = 6w = 36\).
En résolvant, \(w = 6\), donc la longueur est \(2 \times 6 = 12\).
Aire = \(w \times \text{longueur} = 6 \times 12 = 72\).

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