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Home » The volume \( V \) of a cylinder is given by the formula \( V = \pi r^2 h \). - Blask

The volume \( V \) of a cylinder is given by the formula \( V = \pi r^2 h \). - Blask

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 r = \frac{A}{s} = \frac{84}{28} = 3 \text{ cm}

📌 \text{Area} = \pi r^2 = \pi \times 3^2 = 9\pi \text{ cm}^2

📌 Thus, the area of the inscribed circle is \(\boxed{9\pi}\).

📌 An equilateral triangle has a side length of 10 cm. If each side is decreased by 2 cm, by how many square centimeters does the area decrease?

📌 The area \(A\) of an equilateral triangle with side length \(s\) is given by:

📌 The original side length is 10 cm, so the original area is:

📌 A_{\text{original}} = \frac{\sqrt{3}}{4} \times 10^2 = \frac{\sqrt{3}}{4} \times 100 = 25\sqrt{3} \text{ cm}^2

📌 The new side length is \(10 - 2 = 8\) cm. The new area is:

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