the radius of a metal ball 21 centimetre it is melted converted into some cylindrical rods of radius 2 centimetre and height 7 centimetre find the number of rods made after the conversion.
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Answer:
441 rods
Step-by-step explanation:
since the metallic ball is spherical in shape,
then the volume is given by:
V = 4/3πr^3
= 4/3 × π × 21^3
=12348π cm^3
then the volume of the cylinder is given by:
V= πr^2h
= π × 2 ^2 × 7
= 28π cm^3
therefore the no. of rods is given by;
= volume of sphere/ volume of cylinder
= 12348π/28π
= 441 rods
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