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Home » Question: A science communicator creates a puzzle involving the equation - Appcentric

Question: A science communicator creates a puzzle involving the equation - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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This is an arithmetic series of odd numbers with first term \( a = 1 \...
Number of terms \( n \): \( l = a + (n-1)d \rightarrow 99 = 1 + (n-1)...
Solve: \( 98 = 2(n-1) \rightarrow n-1 = 49 \rightarrow n = 50 \).
Sum of arithmetic series: \( S = \frac{n}{2}(a + l) \).
\( S = \frac{50}{2}(1 + 99) = 25 \times 100 = 2500 \).
#### 2500
A conical vessel with a base radius of 3 cm and height of 9 cm is fill...
Volume of a cone: \( V = \frac{1}{3} \pi r^2 h \).
\( r = 3 \, \text{cm} \), \( h = 9 \, \text{cm} \).
\( r^2 = 9 \), so \( V = \frac{1}{3} \pi \times 9 \times 9 = \frac{1}{...

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