Question

the lateral area of a cone is 574 pi cm2. the radius is 29 cm

Answer 1

To find the slant height of a cone with lateral area of $574 \pi \, cm^2$ and a radius of 29 cm, we recall that the lateral area of a cone is given by
$A_L=\pi rl$
where l is the slant height of the cone.

Thus, $l= \frac{A_L}{\pi r} = \frac{574\pi}{29\pi} \approx 19.79 \, cm$