Question

What is the surface are of this cone rounded to the nearest tenth of a square foot?

Answer 1

ANSWER

`282.7ft^2`

Step-by-step explanation

Recall, the formula for calculating the surface area of a cone is;

`A=\pi r^2+\pi r√(r^2+h^2)`

Given;

`\begin{gathered} radius(r)=5 \\ height(h)=12 \end{gathered}`

Substitute the values into the formula;

`\begin{gathered} A=\pi 5^2+\pi 5√(5^2+12^2) \\ =\pi5^2+\pi5√(25+144) \\ =25\pi+5\pi*13 \\ =25\pi+65\pi \\ =90\pi \\ =90*3.14 \\ =282.74 \\ \cong282.7 \end{gathered}`