Collin's Cambridge IGCSE Maths
1 answer:
Volume of Sphere
6231 spheres can be made from 1 kg of lead
Step-by-step explanation:
Given Density of lead d = 11.35 gm/cm³
Let the maximum number of spheres that can be made with 1 kg of lead = n
Radius of sphere r = 1.5 mm = 0.15 cm
Volume of Sphere =
Volume of one sphere V = (4/3) * 22.7 * r³
Volume of n spheres = n * (4/3) * 22.7 *r³ ….. Eq (1)
Total mass of lead m = 1kg = 1000gm ...Eq (2)
Equating the above two equations
n × V × d = m
n × (4/3) × 22.7 × ( 0.15 )³ = 1000
Therefore calculating n= 6231.45
But considering the whole number, 6231 spheres can be made from 1 kg of lead.
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