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Home » This Crazy Splinter Could Be the Key to Solving the Largest Mystery Alive! - Portal da AcÃºstica

This Crazy Splinter Could Be the Key to Solving the Largest Mystery Alive! - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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\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 hei...
The volume \( V \) of the original cone with base radius \( r \) and h...
V = \frac{1}{3} \pi r^2 h = \frac{1}{3} \pi r^2 (2r) = \frac{2}{3} \pi...
The scaled cone has dimensions \( kr \) and \( 2kr \), so its volume \...
V_k = \frac{1}{3} \pi (kr)^2 (2kr) = \frac{1}{3} \pi k^2 r^2 \cdot 2kr...
The ratio of the original volume to the scaled volume is:
\frac{V}{V_k} = \frac{\frac{2}{3} \pi r^3}{\frac{2}{3} \pi k^3 r^3} =...
Thus, the ratio is \(\boxed{\frac{1}{k^3}}\).

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