A tinmaker converts a cubical metallic box into 10 cylindrical tins. Side of a cube is
50 cm and radius of the cylinder is 7 cm. Find the height of each cylinder so made
if the wastage of 12% is incurreal in the process.
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hey!1
Step-by-step explanation:
this is an interesting questipon
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Side of a cube is
50 cm
Volume of a cube= a^3
=> (50)^3
=> 125000cm^3
so the volume of cube will be equal to vol. of 10 cylinderical tins
but 12% of this was wated
=> 12% wastage= 12/100×125000
=> 15000cm^3
so vol . of 10 tins = 15000cm^3
vol of 1 = > 15000/10
=> volume of one cylinder= 1500cm^3
given : radius = 7 cm
i.e
=> 1500= πr^2h
=> 1500= 22/7×7×7×h
=> 1500/154= h
=> h= 9.74cm
∴, the height of one cylinder is 9.74cm
thanks :)
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