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Home » A cylindrical tank with a radius of 3 meters and a height of 5 meters is filled with water. What is the volume of water in the tank? (Use \(\pi \approx 3.14\)) - AMAZONAWS

A cylindrical tank with a radius of 3 meters and a height of 5 meters is filled with water. What is the volume of water in the tank? (Use \(\pi \approx 3.14\)) - AMAZONAWS

📅 March 11, 2026 👤 scraface
Mar 11, 2026
A cylindrical tank with a radius of 3 meters and a height of 5 meters is filled with water. What is the volume of water in the tank? (Use \(\pi \approx 3.14\))

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📌 Question:** A retired scientist is mentoring students on geometric proportions. An equilateral triangle has an area of \( 36\sqrt{3} \, \text{cm}^2 \). If each side is reduced by 2 cm, by how many square centimeters does the area decrease?
📌 Solution: First, arrange the 6 modules without restrictions: $\frac{6!}{3!2!1!} = 60$. For the constraint, note the biology lab (B) must not follow both chemistry experiments (C). Total valid arrangements: Calculate total permutations where B is not after both C's. This is equivalent to ensuring B is not in a position after both C's. Using combinatorial cases: B is first, or B is second with at least one C before it, or B is third with at least two C's before it. Alternatively, recognize that the condition excludes only $ \frac{1}{3} $ of all permutations where B is after both C's (since the C's can be ordered in 2 ways). Thus, valid arrangements: $60 - \frac{1}{3} \times 60 = 40$. The final answer is $\boxed{40}$.
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📌 Site 2 contribution = (15.6 / 55) × 100 = <<15.6/55*100=28.36>>28.36%
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