Question

Find the number of lead balls, each 4 cm in diameter that can be made from a sphere of diameter 12 cm.256266270169

Answer 1

Answer:

27

Step-by-step explanation:

Volume of a sphere is given by :

Volume = 4/3πr³

The volume of a small lead ball is given by:

r = 4/2 = 2 cm

Volume = 4/3 × π × 2³ = 32/3π

The volume of the sphere :

r = 12/2 = 6cm

Volume = 4/3 × π × 6³

= 288π

The number of spheres that can be made from this big sphere is given by :

288π ÷ 32/3π =

288π × 3/32π = 27

The total number of spheres that can be made are 27.