A right-angled triangle with perpendicular sides and is rotated completely about the side of length . What is the volume of the solid formed?

Answer and explanation

Correct answer: B.

  1. Step 1: The solid is a cone with axis (height ) and base radius . Step 2. . **Answer: . Why not the others:** : This is the cone obtained by rotating about the side instead. : This is the cylinder without the factor . : This is , a cylinder about the wrong axis.

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