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Home » Unlock Charming Fun: Free Pumpkin Coloring Pages You’ll Download Immediately! - Feedz API

Unlock Charming Fun: Free Pumpkin Coloring Pages You’ll Download Immediately! - Feedz API

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 $$Question: A materials scientist is analyzing a hexagonal crystal lattice where each side of the hexagon measures 4 cm. If the scientist reduces each side by 1 cm to model strain in the lattice, what is the percentage decrease in the area of the hexagonal unit cell?

📌 Approximating numerically for verification (though exact form is acceptable):

📌 Original surface area with $ a = 6 $:

📌 Ratio of original to new surface area:

📌 Question: The radius of a spherical pollen grain is $2y$ units, and a hemispherical spore has radius $3y$ units. What is the ratio of the volume of the pollen grain to the volume of the spore?

📌 Solution: Volume of a sphere with radius $ r = 2y $:

📌 Volume of a hemisphere with radius $ R = 3y $:

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