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Home » Halloween Charcuterie Board Hacks You’ll Want to Pin Before Midnight! - 500apps

Halloween Charcuterie Board Hacks You’ll Want to Pin Before Midnight! - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 A cylindrical tank with a radius of 3 meters and a height of 5 meters is filled with water. If 20% of the water is drained, what is the volume of the remaining water in the tank (in cubic meters)?

📌 Volume of the tank = π × r² × h = π × 3² × 5 = 45π cubic meters

📌 Water drained = 20% of 45π = 0.2 × 45π = 9π cubic meters

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A = I + \frac{B}{2} - 1
where $A$ is area, $I$ is interior lattice points, and $B$ is boundary...
A = \frac{\sqrt{3}}{4} \cdot 6^2 = \frac{\sqrt{3}}{4} \cdot 36 = 9\sqr...
Now, determine $B$: the number of lattice points on the boundary. Each...
B = 3 \cdot 7 - 3 = 21 - 3 = 18
Now apply Pick’s Theorem:
9\sqrt{3} = I + \frac{18}{2} - 1 = I + 9 - 1 = I + 8
I = 9\sqrt{3} - 8
But $I$ must be an integer, and $9\sqrt{3} \approx 9 \cdot 1.732 = 15....
Instead, interpret the problem as a combinatorial lattice: suppose the...

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