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Q.

Which is false in case of a hollow cylinder?

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Detailed Solution

A hollow cylinder is a 3D object with two circular surfaces—an inner and an outer. It is commonly shaped like a pipe or a tube.

Defined by:

  • Outer radius: R
  • Inner radius: r
  • Height: h

True Properties of a Hollow Cylinder

  • Volume: πh(R² - r²)
  • Curved Surface Area (CSA): 2πh(R + r)
  • Total Surface Area (TSA): 2πh(R + r) + 2π(R² - r²)
  • If R = r, it becomes a solid cylinder.
 False Statement: A hollow cylinder has only one curved surface.

Why This Statement Is False:

A hollow cylinder actually has two curved surfaces:

  • An outer curved surface (with radius R)
  • An inner curved surface (with radius r)

Therefore, saying it has only one curved surface is incorrect.

Final Answer:

The false statement is: “A hollow cylinder has only one curved surface.”

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