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Mensuration — MATHS STD 10 — Question

Tamilnadu BoardEnglish MediumSTD 10MATHSMensuration1 Mark
MCQ
If two solid hemispheres of same base radius r units are joined together along with their bases, then the curved surface area of this new solid is ______.
  • ✓
    $4πr^2$ sq.units
  • B
    $6πr^2$ sq.units
  • C
    $3πr^2$ sq.units
  • D
    $8πr^2$ sq.units
✓

Answer

Correct option: A.
$4πr^2$ sq.units
If two solid hemispheres of same base radius r units are joined together along with their bases, then the curved surface area of this new solid is $4πr^2$ sq.units.
Explanation:
Because a hemisphere's curved surface area is, we unite two solid hemispheres along their bottoms of radii r to form a solid sphere.
Hence the curved surface area of new solid $ = 2πr^2+ 2πr^2= 4πr^2$

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