Radius = 12cm
Volume of bigger sphere = \(\frac{4}{3}\pi R^3=\frac{4}{3}\pi \times12^3\)
If the radius of smaller sphere is ‘r’ Volume of 27 smaller spheres = Volume of the bigger sphere
\(27\times\frac{4}{3}\pi r^3=\frac{4}{3}\pi R^3\)
\(27\times\frac{4}{3}\pi r^3=\frac{4}{3}\pi \times12^3\)
27r3 = 123
\(r^3=\frac{12^3}{27}=\frac{1728}{27}=64\)
r3 = 64
Radius of smaller sphere = 4 cm