Question

the formula for the lateral area of a right cone is la = πrs, where r is the radius of the base and s is the slant height of the cone. which are equivalent equations? select two correct answers. □s = \frac{la}{πr} □s = \frac{πr}{la} □s = laπr □r = \frac{la}{πs} □r = lars

Explanation:

Step1: Isolate s in the formula LA = πrs

Divide both sides by πr.
$LA=\pi rs\Rightarrow s = \frac{LA}{\pi r}$

Step2: Isolate r in the formula LA = πrs

Divide both sides by πs.
$LA=\pi rs\Rightarrow r=\frac{LA}{\pi s}$

Answer:

$\boxed{s=\frac{LA}{\pi r}, r = \frac{LA}{\pi s}}$