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Home » Remaining water = 45π – 9π = 36π cubic meters - ECD Germany

Remaining water = 45π – 9π = 36π cubic meters - ECD Germany

📅 May 6, 2026 👤 scraface

May 06, 2026

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📌 So per used server-hour, cost is $0.80, but relative to utilization, its cheaper.

📌 Thus, cloud leads to higher cost by $651,600 annually.

📌 But the question asks for annual cost difference, which is absolute: $651,600.

📌 But is this correct? The problem says only 75% of servers are needed on average — so average consumption is 75% of full capacity, but the pricing model charges per server used — but if a server is idle 25% of time, but charged at $0.80 per hour regardless, that doesnt reflect usage.

📌 However, in practice, cloud cost is based on actual hours and allocated capacity, but here the model simplifies to $0.80 per server per hour, which scales with usage.

📌 This accounts for full hours? No — if a server is used only 75% of the time, but we count it as running all day, then its overcounting.

📌 Correct model: cost is proportional to actual server-hours used.

📌 Thus, annual cost difference is $608,400.

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A cylindrical tank with a radius of 3 meters and a height of 5 meters...
The volume of the sphere is \(\frac{4}{3} \pi (1)^3 = \frac{4}{3} \pi\...
The cross-sectional area of the cylinder is \(\pi (3)^2 = 9\pi\).
The rise in water level is \(\frac{\frac{4}{3} \pi}{9\pi} = \frac{4}{2...
#### \(\frac{4}{27}\)
The sum of the first \(n\) positive integers is 210. What is \(n\)?
The sum of the first \(n\) integers is \(\frac{n(n+1)}{2} = 210\).
Solving, \(n(n+1) = 420\).
Using the quadratic formula, \(n = \frac{-1 \pm \sqrt{1 + 1680}}{2}\).
\(n = \frac{-1 \pm \sqrt{1681}}{2}\).

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