Question

12 spheres of the same size are made from melting a soild cylinder of 16 cm diameter and 2 cm height, the diameter of each sphere is

• A. 1 cm
• B. 3 cm
• C. 4 cm
• D. 5 cm

Answer 1

The correct option is C 4 cm

let 12 spheres have radius r

$\therefore$ by volume conservation $\Rightarrow$

$12\times \frac{4}{3}\pi r^3=\pi r_1^{2}h$

$12\times \frac{4}{3}\times r^3=8\times 8\times 2$

$r^3=8$

$r=2cm$

$d=24=4cm$