Q. 45.0( 6 Votes )
A solid sphere of radius 3 cm is melted and then recast into small spherical balls each of diameter 0.6 cm. Find the number of small balls thus obtained.
Answer :
Given that Radius of bigger sphere (R) = 3cm
and diameter of smaller spherical balls = 0.6cm
So, radius of small spherical balls (r) = 0.3cm
Let the number of small balls = n
According to the question,
n × volume of small balls = Volume of bigger sphere
⇒ nr3 = R3
⇒ n = (10)3
⇒ n = 1000
Hence, the number of small balls = 1000
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PREVIOUSA hemisphere of lead of radius 8 cm is cast into a right circular cone of base radius 6 cm. Determine the height of the cone, correct to two places of decimals.NEXTA solid metal cone with radius of base 12 cm and height 24 cm is melted to form solid spherical balls of diameter 6 cm each. Find the number of balls thus formed.
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