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Home » The ratio of the volume of the planet to the volume of the half-sphere - Silent Sales Machine

The ratio of the volume of the planet to the volume of the half-sphere - Silent Sales Machine

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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🔥 Popular Posts

Approximating \( \pi \) as 3.14, \( t \approx \frac{45 \times 3.14}{2}...
#### 70.65
A particle moves along a straight line with its position at time \( t...
Velocity is the derivative of position, \( v(t) = \frac{ds}{dt} \).
So, \( v(t) = \frac{d}{dt}(t^3 - 6t^2 + 9t) = 3t^2 - 12t + 9 \).
At \( t = 4 \), \( v(4) = 3(4)^2 - 12(4) + 9 \).
Calculating gives \( v(4) = 48 - 48 + 9 = 9 \).
If \( \log_b(64) = 3 \), find the value of \( b \).
The equation \( \log_b(64) = 3 \) implies \( b^3 = 64 \).
Solving for \( b \) gives \( b = \sqrt[3]{64} = 4 \).

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