# Maharashtra Class 10 Answered

**A tin maker converts a cubical metallic box into 10 cylundrical tins. Side of the 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% in the process.**

Asked by Bhawna | 01 Feb, 2020, 10:58: PM

Expert Answer

Side of the cube= 50cm

radius of cylinders= 7cm

wastage= 12%

No. of cylinders made= 10

Volume of a cube= a

^{3}= (50)^{3}= 125000cm^{3}12% wastage= 12/100×125000

volume of 10 cylinders= 15000cm

^{3 }volume of one cylinder= 15000/10

volume of one cylinder= 1500cm

^{3}1500= πr

^{2}h1500= 22/7×7×7×h

1500/154= h

h= 9.7402 cm

therefore, the height of one cylinder is 9.74 cm (aaprox)

Answered by Arun | 02 Feb, 2020, 10:07: AM

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