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Home » 5,[Click Here to Download Game-Changing Sims 4 Build Cheats Instantly!] - jntua results

5,[Click Here to Download Game-Changing Sims 4 Build Cheats Instantly!] - jntua results

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Thus, the final answer is \(\boxed{\frac{1}{3}}\).

📌 A regular tetrahedron has a side length of $s$. Determine the ratio of the volume of the tetrahedron to the volume of the sphere circumscribed around it.

📌 The volume of a regular tetrahedron with side length $s$ is given by:

📌 V_{\text{tetrahedron}} = \frac{\sqrt{2}}{12} s^3

📌 The radius of the circumscribed sphere (circumradius) of a regular tetrahedron is:

📌 R = \frac{s \sqrt{6}}{4}

📌 The volume of the sphere is:

📌 V_{\text{sphere}} = \frac{4}{3} \pi R^3 = \frac{4}{3} \pi \left(\frac{s \sqrt{6}}{4}\right)^3 = \frac{4}{3} \pi \frac{6\sqrt{6}}{64} s^3 = \frac{\pi \sqrt{6}}{8} s^3

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C = 2\pi r = 2\pi \cdot \frac{\sqrt{89}}{2} = \pi \sqrt{89}
\boxed{\pi \sqrt{89}}
Question: Compute $\cos 180^\circ + \sin 270^\circ$.
Solution: Using standard trigonometric values:
\cos 180^\circ = -1, \quad \sin 270^\circ = -1
Adding these together:
\cos 180^\circ + \sin 270^\circ = -1 + (-1) = -2
\boxed{-2}
Question: A right triangle has a hypotenuse of length $t$, and the rad...
Solution: The area $A_{\text{circle}}$ of the inscribed circle is:

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