### Question 5
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- Volume of new tank = \(\pi imes (6)^2 imes h = 36\pi h\)
- Equating volumes: \(36\pi = 36\pi h\)
- \(h = 1\)
- The sum of the first \(n\) terms of an arithmetic sequence is given by \(S_n = rac{n}{2} (2a + (n-1)d)\). If the first term \(a = 5\) and the common difference \(d = 3\), find \(S_{10}\).
- \(S_{10} = rac{10}{2} (2(5) + (10-1)3)\)
- \(S_{10} = 5 (10 + 27)\)
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