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Home » where \(r\) is the radius. Since the diameter is \(20\) units, the radius \(r\) is: - Aurero

where \(r\) is the radius. Since the diameter is \(20\) units, the radius \(r\) is: - Aurero

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 A cone has a base radius of 4 cm and a height of 9 cm. What is its volume? Use \( \pi \approx 3.14 \).

📌 Volume formula for a cone: \( V = \frac{1}{3} \pi r^2 h \).

📌 Substitute the values: \( V = \frac{1}{3} \times 3.14 \times 4^2 \times 9 \).

📌 Calculate: \( V = \frac{1}{3} \times 3.14 \times 16 \times 9 \).

📌 Simplify: \( V = \frac{1}{3} \times 3.14 \times 144 \).

📌 \( V = \frac{1}{3} \times 452.16 = 150.72 \) cubic cm.

📌 Given \( C = 31.4 \), solve for \( r \): \( 2 \times 3.14 \times r = 31.4 \).

📌 \( r = \frac{31.4}{6.28} = 5 \) cm.

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