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}{\pi r} s = \frac{\pi r}{la} s = la\pi r r = \frac{la}{\pi s} r = la\pi s

Explanation:

Step1: Solve for s

Given $LA=\pi rs$, divide both sides by $\pi r$ (assuming $r
eq0$). So $s = \frac{LA}{\pi r}$.

Step2: Solve for r

Given $LA=\pi rs$, divide both sides by $\pi s$ (assuming $s
eq0$). So $r=\frac{LA}{\pi s}$.

Answer:

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