the formula for the lateral area of a right cone is $la = \pi r s$, 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.

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

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

$s = la \pi r$

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

$r = la \pi s$

Question

the formula for the lateral area of a right cone is $la = \pi r s$, 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.

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

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

$s = la \pi r$

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

$r = la \pi s$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Literal Equations", "Rearranging Formulas" ], "new_concepts": [], "current_concepts": [ "Literal Equations", "Rearranging Formulas", "Properties of Equality" ] } ## Isolate the variable s Using the *Literal Equations* and *Rearranging Formulas* knowledge points $$ \begin{aligned} &LA = \pi r s \ &s = \frac{LA}{\pi r} \end{aligned} $$ ## Isolate the variable r Using the *Literal Equations* and *Rearranging Formulas* knowledge points $$ \begin{aligned} &LA = \pi r s \ &r = \frac{LA}{\pi s} \end{aligned} $$ ## Identify the correct options Using the *Literal Equations* knowledge point $$ \begin{aligned} &\text{Option 1: } s = \frac{LA}{\pi r} \quad (\text{Correct}) \ &\text{Option 4: } r = \frac{LA}{\pi s} \quad (\text{Correct}) \end{aligned} $$

(A) $s = \frac{LA}{\pi r}$

(B) $s = \frac{\pi r}{LA}$

(C) $s = LA \pi r$

(D) $r = \frac{LA}{\pi s}$

(E) $r = LA \pi s$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Literal Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Isolate the variable s

Isolate the variable r

Identify the correct options

Answer: