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Home » You Won’t Believe These Hidden Facts About the Iconic The Muppets Characters! - AMAZONAWS

You Won’t Believe These Hidden Facts About the Iconic The Muppets Characters! - AMAZONAWS

📅 March 6, 2026 👤 scraface

Mar 06, 2026

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📌 The surface area \( A_s \) of a sphere with radius \( \frac{a}{2} \) is:

📌 A_s = 4 \pi \left(\frac{a}{2}\right)^2 = 4 \pi \cdot \frac{a^2}{4} = \pi a^2

📌 The ratio of the surface area of the pollen grain to the surface area of the spore is:

📌 \frac{A_p}{A_s} = \frac{4 \pi a^2}{\pi a^2} = 4

📌 Therefore, the ratio is \(\boxed{4}\).

📌 Question:** A food scientist is designing a conical container with height \( h \) and base radius \( r \), where \( h = 2r \). If they also consider a similar conical model with dimensions scaled by a factor of \( k \), what is the ratio of the volume of the original cone to the scaled cone?

📌 The volume \( V \) of the original cone with base radius \( r \) and height \( h = 2r \) is:

📌 V = \frac{1}{3} \pi r^2 h = \frac{1}{3} \pi r^2 (2r) = \frac{2}{3} \pi r^3

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