Find the number of lead balls each 1 cm in diameter that can be made from the sphere of diameter 12 cm
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Hey.....!!! here is ur answer....☺️☺️☺️
Let the number of lead balls = n
and let the diameter of small lead ball = r and the diameter of big lead ball = R.
Given that the diameter of small lead ball = 1 cm = radius = 1/2 cm.
and the diameter of big lead ball = 12cm = radius = 12/2 = 6cm.
Now.... According to the question,
Volume of big lead ball = number of small lead balls × Volume of small lead ball
{As we know that the the volume of Sphere = 4/3πr³ where r is the radius of Sphere}
Then, 4/3πR³ = n×4/3πr³
=>4/3π (6)³ = n×4/3π(1/2)³
=>216 = n×1/8
=>n = 216×8
=>n = 1728 <<<<<Ans.
Thus the number of small lead balls is 1728.
I hope it will help you......✌️✌️✌️
Let the number of lead balls = n
and let the diameter of small lead ball = r and the diameter of big lead ball = R.
Given that the diameter of small lead ball = 1 cm = radius = 1/2 cm.
and the diameter of big lead ball = 12cm = radius = 12/2 = 6cm.
Now.... According to the question,
Volume of big lead ball = number of small lead balls × Volume of small lead ball
{As we know that the the volume of Sphere = 4/3πr³ where r is the radius of Sphere}
Then, 4/3πR³ = n×4/3πr³
=>4/3π (6)³ = n×4/3π(1/2)³
=>216 = n×1/8
=>n = 216×8
=>n = 1728 <<<<<Ans.
Thus the number of small lead balls is 1728.
I hope it will help you......✌️✌️✌️
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