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Home » We are given a recursive sequence: - Leaselab

We are given a recursive sequence: - Leaselab

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 A = \sqrt{s(s - a)(s - b)(s - c)} = \sqrt{15(15 - 7)(15 - 10)(15 - 13)} = \sqrt{15 \cdot 8 \cdot 5 \cdot 2} = \sqrt{1200} = 10\sqrt{12} = 20\sqrt{3} \, \text{cm}^2.

📌 \boxed{20\sqrt{3}}

📌 Question: A right circular cone has a base radius of $ 5x $ and a slant height of $ 13x $. What is the total surface area of the cone in terms of $ x $?

📌 Solution: The total surface area of a cone is the sum of the base area and the lateral surface area. The base area is:

📌 \pi (5x)^2 = 25\pi x^2.

📌 The lateral surface area is:

📌 \pi r \ell = \pi (5x)(13x) = 65\pi x^2.

📌 Total surface area:

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