Question

the formula for the lateral area of a right cone is la = π rs, 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: Solve for \(s\)

Given \(LA=\pi rs\). Divide both sides by \(\pi r\) (assuming \(r
eq0\)).
\(s = \frac{LA}{\pi r}\)

Step2: Solve for \(r\)

Given \(LA=\pi rs\). Divide both sides by \(\pi s\) (assuming \(s
eq0\)).
\(r=\frac{LA}{\pi s}\)

Answer:

\(s = \frac{LA}{\pi r}\) and \(r=\frac{LA}{\pi s}\) (i.e., the first and fourth options)