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Home » \[ V_{\textsphere} = \frac43 \pi r^3. \] - Baxtercollege

\[ V_{\textsphere} = \frac43 \pi r^3. \] - Baxtercollege

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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🔥 Popular Posts

Adjust: try \( h = 12.1 \): \( h^{5/2} = 12.1^2 \cdot \sqrt{12.1} = 14...
Interpolate: \( h \approx 12.0 - \frac{9.17}{2(12^{5/2} \cdot \frac{5}...
Use numerical solver: After careful integration and evaluation, the he...
Actually, recalculate:
\( h^{5/2} = 12^{5/2} - \frac{288}{25\pi} \cdot \frac{10}{2} \times \f...
From \( \frac{2}{5} h^{5/2} = \frac{288}{25\pi} \) → \( h^{5/2} = \fra...
Correction:
\( \frac{dh}{dt} = -\frac{28.8}{25\pi} h^{-3/2} \) →
\( \int h^{3/2} dh = -\frac{28.8}{25\pi} \int dt \) →
\( \frac{2}{5} h^{5/2} = -\frac{28.8}{25\pi} t + C \)

📝 Recent Posts

Length = \( 2(8) + 5 = 16 + 5 = 21 \) meters
Area = length × width = \( 21 \times 8 = 168 \) square meters
#### 168
A car accelerates uniformly from rest to 60 miles per hour in 12 secon...
Final velocity = 60 mph
Convert to feet per second:
\[ 60 \times \frac{5280}{3600} = 60 \times \frac{22}{15} = 4 \times 22...
Acceleration \( a = \frac{\Delta v}{\Delta t} = \frac{88 \text{ ft/s}}...
#### 7.33
The sum of the squares of three consecutive integers is 425. What is t...

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