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Below is a fun back‐of‐the‐envelope way to see just **how absurdly dense** that “reef‐blower water” would have to be if SpongeBob really did vacuum up the entire ocean into a beach‐ball‐sized container. --- ### 1. Mass of Earth’s Oceans Earth’s oceans contain roughly \(1.35\times10^{18}\) m³ of water. Since water is about 1000 kg per cubic meter, that’s about \[ \underbrace{1.35 \times 10^{18}\,\text{m}^3}_{\text{volume}} \;\times\; \underbrace{1000\,\tfrac{\text{kg}}{\text{m}^3}}_{\text{density}} \;=\; 1.35\times 10^{21}\,\text{kg} \] of water in total. --- ### 2. Volume of SpongeBob’s Reef Blower From the cartoon still, the blower looks roughly the size of a large beach ball—say about **0.1 m³** of interior volume (that’s on the order of a 50–100 liter sphere). --- ### 3. Compute the “Condensed” Density If all \(1.35\times10^{21}\) kg of ocean water got crammed into **0.1 m³**, then the density inside would be \[ \frac{1.35\times10^{21}\,\text{kg}} {0.1\,\text{m}^3} \;=\; 1.35\times 10^{22}\,\text{kg/m}^3. \] For comparison: - **Normal liquid water**: \(1\times10^3\)\,kg/m³ - **Lead**: \(\sim11\times10^3\)\,kg/m³ - **Neutron star matter**: around \(10^{17}\)–\(10^{18}\)\,kg/m³ in the outer regions So the reef‐blower water, at \(\mathbf{10^{22}}\) kg/m³, would be a **thousand times denser than a neutron star’s crust**—a playful way of saying it’s “cartoonishly impossible” in real physics. --- ### Bottom Line In true SpongeBob fashion, the show’s gag implies compressing an entire ocean into a tiny sphere at literally **astrophysical** densities. It’s just a fun cartoon moment, not something that could happen in real life!
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Sat, 11 Jan 2025 02:57 GMT