Question

find the minimum length correct to nearest Whole number of the thin metal sheet required to make a hollow and closed cylinder vessel of diameter 20 cm and height 35 cm given that the width of the metal sheet is 1 m. also find the cost of the sheet @ rupees 56 per metre

Answer 1

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SOLUTION--------

diameter=20cm
radius=10cm
height=35cm

total length required =circumference of circle

=2π×10
=20π
=628cm

Total area=area of cylinde+area of 2 circles

2π×10×35+2×π×10×10
=20π×45
=90×π
=282.6cm2

Let toal sheet required be x

Since 10% sheet is wasted
x − x/10=282.6
× = 282.6 × 10 / 9
= 314 cm^2

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