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hampton inn hilton head dillon road hilton head island sc - Parker Core Knowledge

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 A cone has a base radius of 4 cm and a slant height of 5 cm. What is its lateral surface area?

📌 Lateral surface area = π × radius × slant height = π × 4 × 5 = 20π cm²

📌 #### 62.832 cm² (using π ≈ 3.14159)

📌 The sum of the first n terms of an arithmetic sequence is given by \( S_n = \frac{n}{2}(2a + (n-1)d) \). If \( a = 5 \), \( d = 3 \), and \( S_n = 110 \), find n.

📌 \( 110 = \frac{n}{2}(2 \times 5 + (n-1) \times 3) \)

📌 \( 110 = \frac{n}{2}(10 + 3n - 3) \)

📌 \( 110 = \frac{n}{2}(3n + 7) \)

📌 \( 220 = n(3n + 7) \)

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