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25 votes
25 votes
Find the total surface area of the cone. Use the r button on your calculator. altitude = 13 cm, diameter = 11 cm, slant height = 15 cm

Find the total surface area of the cone. Use the r button on your calculator. altitude-example-1
User Babl
by
3.0k points

1 Answer

23 votes
23 votes

In general, the area of a cone is given by the formula below


\begin{gathered} A=\pi r^2+\pi rl \\ r\rightarrow\text{ radius} \\ l\rightarrow\text{ slant height} \end{gathered}

Therefore, in our case,


\begin{gathered} r=(11)/(2)=5.5 \\ l=15 \\ \Rightarrow A=\pi *5.5^2+\pi *5.5*15 \\ \Rightarrow A=112.75\pi \end{gathered}

Rounding to two decimal places,


\Rightarrow A\approx354.22

The answer is approximately 354.22 cm^, option D.

User Channs
by
2.8k points
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