How many lead balls each of radius 1cm can be form from a sphere of radius 8cm?
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The solution needs a simple approach that the volume of both the balls needs to be divided by each other to find the number of balls.
EXPLANATION
No. of balls= volume of big ball/ volume of small ball.
we know that volume of a spere
=> 4/3πr^3
now
the volume of the ball with radius 8cm
=> 4/3π8×8×8_______(1)
the volume of the ball with radius 1cm
=> 4/3π1×1×1________(2)
dividing eq (1) & (2)
we get,
=> (8×8×8)/(1×1×1)
=> 512/1
=> 512
512 Balls of the 1cm radius can be made using the ball of 8 cm radius.
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