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If two solid hemispheres of the same base radius r are joined together along their bases, then curved surface area of this new solid is

  • A.4πr²
  • B.6πr²
  • C.3πr²
  • D.8πr²

Answer: A

Joining two hemispheres along their bases produces a complete sphere; the two flat circular faces are sealed inside and no longer form part of the surface.

\[ 2 \times 2\pi r^{2} = 4\pi r^{2} \]

which is precisely a sphere's surface area. Adding the two flat faces would give \( 6\pi r^{2} \) - correct for two separate hemispheres, but not for the joined solid.

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