A solid right circular cone has a base radius of and a slant height of . What is the volume of this cone?

Answer and explanation

Correct answer: A.

  1. Step 1: Find the vertical height using the Pythagorean theorem with radius and slant height : .
  2. Step 2: Calculate the volume using : .
Answer
.
Why not the others: mistakenly uses the slant height in place of vertical height (); calculates cylinder volume () without dividing by 3; uses instead of .

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