Question

ii) 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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Answer 1

Answer:

Step-by-step explanation:

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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  cylindrical tins

but 12% of this was wasted

=> 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