Question
Find the number of lead balls, each 1 cm in diameter that can be a sphere of diameter 12 cm.
Find the number of lead balls, each 1 cm in diameter that can be a sphere of diameter 12 cm.
Answer: Option B
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Volume of larger sphere = (4/3)*22/7*6*6*6) cm3 = 288*22/7 cm3
Volume of 1 small lead ball = ((4/3)*22/7*(1/2)*(1/2)*(1/2)) cm3 = (22/7)/6 cm3
Number of lead balls = (288*22/7*(6/(22/7))) = 1728.
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