Question

The number of balls of radius 1 cm that can be made from a solid sphere of radius 4 cm is

• A. $64$
• B. $16$
• C. $12$
• D. $4$

Answer 1

Answer: (A)

$64$

Radius of sphere, $R=4$ cm
Radius of ball, $r=1$ cm
Volume of sphere $V_1=\frac{4}{3}\pi R^3$ = $\frac{4}{3}\pi (4{)}^3$
Volome of ball $V_2=\frac{4}{3}\pi r^3$ = $\frac{4}{3}\pi (1{)}^3$
Number of balls that can made are $=\frac{V_1}{V_2}=\frac{\frac{4}{3}\pi (4{)}^3}{\frac{4}{3}\pi (1{)}^3}$
$=4^3$

$=64$