Answer:
The radius of cone is 44.6 meters.
Step-by-step explanation:
Consider the provided information.
The shape of a cone (excluding the base) is given by the formula S=Pi x square root of (r^2 + h^2).
This can be written as:
\(S=\pi \times \sqrt{r^2+h^2}\)
We need to find the radius of a cone with a height of 21 meters and a surface area of 155 meters squared.
Substitute the respective values in the above formula.
\(155=\pi \times \sqrt{r^2+21^2}\)
\(\frac{155}{\pi}=\sqrt{r^2+21^2}\)
\(49.32=\sqrt{r^2+441}\)
\(2432=r^2+441\)
\(1991=r^2\)
\(r=44.6\ approximately\)
Hence, the radius of cone is 44.6 meters.
