The formula for the lateral area of a right cone is LA = rs, where r is the radius of the base and s is the slant height of the cone.
Answers
The complete question is:
The formula for the lateral area of a right cone is LA = 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 = s equals StartFraction L A Over pi r EndFraction. s = s equals StartFraction pi r Over L A EndFraction. s = LAr r = r equals StartFraction L A Over pi s EndFraction. r = LAs
Given:
The formula for the lateral area of a right cone is LA = rs, where r is the radius of the base and s is the slant height of the cone.
To find:
Which are equivalent equations? Select two correct answers.
Solution:
From given, we have,
The formula for the lateral area of a right cone is LA = rs, where r is the radius of the base and s is the slant height of the cone.
LA = πrs
⇒ s = LA/πr
we use this formula to find the slant height of the cone when lateral area and the radius of a cone are given.
⇒ r = LA/πs
we use this formula to find the radius of the cone when lateral area and the slant height of a cone are given.
Therefore, s = LA/πr and r = LA/πs are correct options.
Answer:
C and E
Step-by-step explanation:
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