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}{\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 \(\pi r\) to isolate \(s\).
\(s = \frac{LA}{\pi r}\)

Step2: Solve for \(r\)

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

Answer:

\(s=\frac{LA}{\pi r}\) (first option) and \(r = \frac{LA}{\pi s}\) (fourth option)