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A cone of height 24 cm and radius of base 6 cm is made up of modelling clay. A child reshapes it in the form of a sphere. Find the radius of the sphere and hence find the surface area of this sphere.

 

 
 
 
 
 

Answers (1)

Given  Cone height = 24 cm
            radius of cone = 6 cm
The volume of clay will remain same hence
The volume of cone = Volume of sphere
\frac{1}{3}\pi r^{2}h= \frac{4}{3}\pi R^{3}                   (R = radius of the sphere)
\Rightarrow 3\sqrt{\frac{6^{2}\times 24}{n}}= R
\Rightarrow R= 6\, cm
The surface area of sphere = 4\pi R^{2}
                                     = 4\times \frac{22}{7}\times 6^{2}
                                     = 452\cdot 16\, cm^{2}

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Safeer PP

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