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

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

February 22, 2026

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

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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:
Total surface area:
25\pi x^2 + 65\pi x^2 = 90\pi x^2.
\boxed{90\pi x^2}

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