A right circular cone has a vertical height of 12 cm and a base radius of 9 cm. What is the total surface area of the cone?
Options
A
225π cm²
B
237π cm²
C
216π cm²
D
300π cm²
Answer & Analysis
Answer
C
Analysis
Question Analysis
This question involves computing the surface area of a cone when only the height and radius are given.
The main focus is on finding the slant height using the Pythagorean Theorem and then applying the surface area formula.
Key Concept Explanation
The surface area of a cone is:
Surface Area = πr² + πrl,
where r is the radius, and l is the slant height.
When the slant height is not given, use:
Step-by-Step Solution
Step 1: Use the Pythagorean Theorem
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