Complete 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.
a) s = s equals StartFraction L A Over pi r EndFraction.
b) s = s equals StartFraction pi r Over L A EndFraction.
c) s = LAr
d) r = r equals StartFraction L A Over pi s EndFraction.
e) r = LAs
Answer:
a) s equals StartFraction L A Over pi r EndFraction.
d) r = r equals StartFraction L A Over pi s EndFraction.
Explanation:
The formula for the Lateral Surface Area of a right cone is given in the question as:
LA = πrs
Where
r is the radius of the base and s is the slant height of the cone.
From the options given,
We can make s the subject of the formula.
Hence:
Making s the subject of the formula
LA = πrs
Divide both sides by πr
s = LA/πr
Hence: Option a) s equals StartFraction L A Over pi r EndFraction. Is correct.
Step 2
Making r the subject of the Formula
LA = πrs
Divide both sides by πs
r = LA/πs
Hence: Option d) r equals StartFraction L A Over pi s EndFraction. Is correct.