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A solid formed on revolving a right angled triangle about its height is

  • A.cylinder
  • B.sphere
  • C.right circular cone
  • D.two cones

Answer: C

Spin a right-angled triangle about one of its perpendicular sides. That side stays fixed as the axis, the other perpendicular side sweeps out a flat circular disc at the bottom, and the hypotenuse sweeps out a slanted surface meeting at a point on the axis.

The result is a right circular cone, with the height equal to the axis side, the base radius equal to the other perpendicular side, and the slant height equal to the hypotenuse.

Revolving a rectangle instead would give a cylinder, and revolving about the hypotenuse would give two cones joined base to base.

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