A right circular cone has base radius 6 cm and slant height 10 cm. What is its total surface area (including base)?
Answer and explanation
Correct answer: D. 96*pi cm^2
- Step 1: Base area: B = pi r^2 = pi 6^2 = 36*pi cm^2.
- Step 2: Lateral area: L = pi r l = pi 6 10 = 60*pi cm^2.
- Step 3: Total surface area = B + L = 36pi + 60pi = 96*pi cm^2.
Answer
96*pi cm^2.
Why not the others: 60pi cm^2 is the lateral area alone without the base; 36pi cm^2 is the base area alone; 120pi cm^2 uses 2pirl.
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