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Two identical solid hemispheres each of radius r are joined along their flat faces to form a sphere. The surface area of the resulting solid is:

Class 10Surface Area of Combined SolidsMensuration

A $4 * p i * r^{2}$
B $6 * p i * r^{2}$
C $3 * p i * r^{2}$
D $2 * p i * r^{2}$

Step-by-Step Solution

The two flat faces vanish; only two curved hemispherical surfaces remain: 2*π*

r^{2} + 2 *

π*

r^{2} = 4 *

π*

r^{2}

, the surface area of a full sphere.

Answer: A)

4 * p i * r^{2}

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