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Home » Cosmic Spider Man: The Masked Hero Crushing Galaxies — Totally Mind-Blowing! - 500apps

Cosmic Spider Man: The Masked Hero Crushing Galaxies — Totally Mind-Blowing! - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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V_{\text{sphere}} = \frac{4}{3}\pi r^3
For the sphere with radius \(2x\):
V_1 = \frac{4}{3}\pi (2x)^3 = \frac{4}{3}\pi (8x^3) = \frac{32}{3}\pi...
The volume \(V_{\text{hemisphere}}\) of a hemisphere with radius \(r\)...
V_{\text{hemisphere}} = \frac{1}{2} \cdot \frac{4}{3}\pi r^3 = \frac{2...
For the hemisphere with radius \(3x\):
V_2 = \frac{2}{3}\pi (3x)^3 = \frac{2}{3}\pi (27x^3) = 18\pi x^3
\frac{V_2}{V_1} = \frac{18\pi x^3}{\frac{32}{3}\pi x^3} = \frac{18}{\f...
Thus, the ratio is:
\boxed{\frac{27}{16}}

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But better: the problem expects exact solution via formula.
But let's use a corrected version with exact fit.
Wait — in practice, such problems use rounding.
But for math olympiad, precise decimal acceptable.
Alternatively, change question to avoid decimal gesture issue.
But instruction is to generate difficult one.
Recompute sum:
+ 1.1 = 2.1
+1.21 = 3.31
+1.331 = 4.641

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