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 = laπs

Explanation:

Step1: Isolate s

Given $LA=\pi rs$, divide both sides by $\pi r$ to get $s = \frac{LA}{\pi r}$.

Step2: Isolate r

Given $LA=\pi rs$, divide both sides by $\pi s$ to get $r=\frac{LA}{\pi s}$.

Answer:

1. $s = \frac{LA}{\pi r}$
2. $r=\frac{LA}{\pi s}$