Question

what is the surface area of this cone?
round your answer to the nearest hundredth.
11 ft
5 ft
square feet

Explanation:

Step1: Recall the formula for the surface area of a cone

The formula for the surface area of a cone is \( S=\pi r(r + l) \), where \( r \) is the radius and \( l \) is the slant height.

Step2: Identify the values of \( r \) and \( l \)

From the problem, \( r = 5\) ft and \( l=11\) ft.

Step3: Substitute the values into the formula

$$
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$$

Step4: Calculate the numerical value

Using \( \pi\approx3.14159265\), we have \( S\approx80\times3.14159265 = 251.327412\)

Answer:

\(251.33\)