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Home » You Won’t Believe How Perfectly Perfect Now’s 8 Inch Cakes Are! - Databee Business Systems

You Won’t Believe How Perfectly Perfect Now’s 8 Inch Cakes Are! - Databee Business Systems

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 5Question: A science journalist is analyzing the design of a triangular solar panel with side lengths of 9, 12, and 15 units. What is the length of the longest altitude?

📌 Solution: The triangle with sides 9, 12, and 15 is a right triangle since $9^2 + 12^2 = 81 + 144 = 225 = 15^2$. The area is $\frac{1}{2} \times 9 \times 12 = 54$. The longest altitude corresponds to the shortest side (9 units). Using the formula for altitude $h = \frac{2 \times \text{Area}}{\text{base}}$, we calculate $h = \frac{2 \times 54}{9} = 12$. \boxed{12}

📌 Question: A pharmacologist models a drug capsule as a cylinder with hemispherical ends, where the total length is 10 units and the radius is 2 units. What is the volume of the capsule?

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