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Home » Be Obsessed: Match Three Game Explodes with These Impossible Combos! - Sourci

Be Obsessed: Match Three Game Explodes with These Impossible Combos! - Sourci

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 Radius of inscribed circle (inradius) = (side × √3) / 6 = (10√3) / 6 = (5√3) / 3 cm

📌 Area of the circle = π × [(5√3) / 3]^2 = π × (25 × 3) / 9 = (75/9)π = (25/3)π square cm

📌 #### (25/3)π

📌 A pyramid with a square base of side 6 cm and height 9 cm is filled with water. If this water is poured into a cone with a radius of 3 cm, what is the height of the water in the cone?

📌 Volume of pyramid = (1/3) × (6 cm)^2 × 9 cm = 108 cubic cm

📌 Volume of cone = (1/3)π × (3 cm)^2 × h = 3πh cubic cm

📌 Equating volumes: 108 = 3πh

📌 Solving for h: h = 108 / (3π) = 36 / π cm

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