Question

The lateral surface area and the slant height of a cone are $1884.4m^2$ and $12m$ respectively. Find its base radius.

Answer 1

Given,
Slant height of cone (l) $=12$ meter
Lateral surface area $=1884.4m^2$
Let the radius of base be r.
$\therefore \pi rl=1884.4$
$\frac{2112}{7}\times 12\times r=1884.4$
$r=\frac{1884.4\times 7}{22\times 12}$
$=50m($ approx $)$