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Home » The least common multiple of the cycle lengths is \(\boxed24\).**Question: - Dyverse

The least common multiple of the cycle lengths is \(\boxed24\).**Question: - Dyverse

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Here, \( r = 3 \) meters and \( h = 5 \) meters.

📌 So, \( V = \pi \times 3^2 \times 5 = 45\pi \) cubic meters.

📌 The tank is drained at 2 cubic meters per minute.

📌 Time \( t \) to empty the tank is \( \frac{45\pi}{2} \) minutes.

📌 Approximating \( \pi \) as 3.14, \( t \approx \frac{45 \times 3.14}{2} = \frac{141.3}{2} = 70.65 \) minutes.

📌 #### 70.65

📌 A particle moves along a straight line with its position at time \( t \) given by \( s(t) = t^3 - 6t^2 + 9t \). Find the velocity of the particle at \( t = 4 \).

📌 Velocity is the derivative of position, \( v(t) = \frac{ds}{dt} \).

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