Question

# If two solid-hemisphere s of same base radius r are joined together along their bases , then curved surface area  of this new solid is  (a)   $4{\mathrm{\pi r}}^{2}$      (b)   $6{\mathrm{\pi r}}^{2}$    (c) $3{\mathrm{\pi r}}^{2}$    (d)  $8{\mathrm{\pi r}}^{2}$

Solution

## Base radius of the hemisphere = r Since the two hemispheres are joined end to end, it becomes a complete sphere.  Curved surface area of the new solid = total surface area of the sphere. Hence, the correct answer is option (a).MathematicsRD Sharma (2016)Standard X

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