Question

Twelve solid spheres of the same size are made by meltingvca solid metallic cylinder of base diameter 2 cm and height 16 cm. The diameter of each sphere is

(a) 2 cm (b) 3 cm (c) 4 cm (d) 6 cm

Answer 1

Let diameter of each sphere be d cm

So,$12\times \frac{4}{3}\times \frac{22}{7}\times \frac{d}{2}\times \frac{d}{2}\times \frac{d}{2}=\frac{22}{7}\times 1\times 1\times 16$
$d^3=8$

So, diameter of the sphere is 2 cm