Gold in the form of solid cylinders will be molded into solid blocks. Each cylinder has a diameter of 6.19 cm and a height of 6 cm. Each solid block will have a volume of 360 cm3. How many cylinders of gold will it take to mold one block of gold?

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20-02-2015
Mathematics

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Gold in the form of solid cylinders will be molded into solid blocks. Each cylinder has a diameter of 6.19 cm and a height of 6 cm. Each solid block will have a volume of 360 cm3. How many cylinders of gold will it take to mold one block of gold?

Sagot :

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Apologiabiologyidn Apologiabiologyidn · Answer 1 · 2015-02-20T12:48:27-05:00

so volume of a cylinder=area of top circle times height or
pi times radius^2 times height
diameter=2 times radius
diameter times 1/2=radius
6.19/2=radius=3.095
pi times 3.095^2 times 6=177.077
so volume of cylinder=177.08
volume of gold=360
so
x cylinders=1 solid block
diviide both sdies by cylinder
x=block/cylinder
block=360
cylinder=177.08
360/177.08=2.03
so aprox 2.03 cylinders will make one block
round down since 0.03 is nigligible
the answer is 2

Sagot :

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