Question

find the surface area of this cone.
use 3.14 for π.
surface area
of a cone
la = πrl
sa = la + b
sa = ?m²
round your answer to the nearest tenth.

Explanation:

Step1: Calculate the lateral area (LA)

The formula for the lateral area of a cone is \( LA=\pi rl\). Here, \(r = 5\) m (radius) and \(l=6\) m (slant height), and \(\pi = 3.14\).

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Step2: Calculate the area of the base (B)

The base of a cone is a circle. The formula for the area of a circle is \(B=\pi r^{2}\). With \(r = 5\) m and \(\pi=3.14\)

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Step3: Calculate the surface area (SA)

The formula for the surface area of a cone is \(SA = LA + B\). Substitute \(LA = 94.2\) and \(B=78.5\)

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Answer:

\(172.7\)