Question

when two hemispheres of diameter 14cm each are joined face to face find the surface area of solid so formed
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Answer 1

Given:

When two hemispheres of diameter 14cm each are joined face to face

To find:

Find the surface area of solid so formed

Solution:

If the 2 hemispheres are joined face to face the solid so formed is the sphere.

The diameter of the sphere, d = 14 cm

∴ The radius of the sphere, r = $\frac{d}{2} = \frac{14}{2} = 7 \:cm$

We know the formula as:

$\boxed{\bold{Surface \:area \:of \:a \:shpere = 4 \pi r^2 }}$

Now, substituting the value of r in the above formula, we get

The surface area of the solid sphere is,

= $4 \times \frac{22}{7} \times 7^2 }}$

= $4 \times 22 \times 7$

= $\bold{616\:cm^2}$

Thus, the surface area of the solid sphere so formed is → 616 cm².

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