Question

How many spherical lead shots of diameter 4 cm can be made out of a solid cube of lead whose edge measures 44 cm?

Answer 1

Answer: 2543 lead shots made

Step-by-step explanation:
Lead shots are made from lead cube,so,
Volume of solid Lead cube(V)=Volume of all lead shots made = number of shots(n)*volume of 1 Lead shot(v)
So, V=nv
Using formulas,
Volume of cube=(Edge of cube^3)
Volume of sphere=(4/3)π(radius^3)
We know from above,V=nv
So,
(edge of cube^3)= n*(4/3)π(radius^3)
(44^3)=n*(4/3)π[(4/2)^3]
44*44*44=n*(4/3)π(2*2*2)
22*22*22=n*(4/3)π
22*22*22*3/(4π)=n
11*11*66/π=n
121*66/3.14=n
2543.3=n
Now, number of shots(n) must be a natural number, so by approximation,
n=2543