A solid sphere of radius is melted and recast into identical smaller spheres

MATHEMATICS · Single correct · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A solid sphere of radius

10\,\text{cm}

is melted and recast into

8

identical smaller spheres. The total surface area of all the smaller spheres is (a)

8

times the surface area of the original sphere (b)

\dfrac{1}{4}

of the surface area of the original sphere (c) twice the surface area of the original sphere (d)

4

times the surface area of the original sphere