Calculate the slant height L of the frustum, given its height h=7.2 m, larger radius R=12 m, and smaller radius r=6 m.

May 12, 2026Mathematics

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May 12, 2026

Answer

\sqrt{h^2 + (R-r)^2}$.

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Step 1: Calculate the slant height $L$ of the frustum. The formula for the slant height is $L = \sqrt{h^2 + (R-r)^2}$ . $L = \sqrt{(7.2)^2 + (12-6)^2}$ $L = \sqrt{51.84 + 6^2}$ $L = \sqrt{51.84 + 36}$ $L = \sqrt{87.84}$ $L \approx 9.3723 \, \text{m}$

Step 2: Calculate the curved surface area (S.A)

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Here's the continuation of the previous problem and the solution to the next question from your image: Step 1: Calculate the slant height L of the frustum.

Asked on May 12, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 12, 2026

Here's the continuation of the previous problem and the solution to the next question from your image: Step 1: Calculate the slant height L of the frustum. The formula for the slant height is L = sqrt(h^2 + (R-r)^2). L = sqrt((7.2)^2 + (12-6)^2) L = sqrt(51.84 + 6^2) L = sqrt(51.84 + 36) L = sqrt(87.84) L ≈ 9.3723 \, m Step 2: Calculate the curved surface area (S.A)