Question

A tin maker bought a sheet of tin of length 4.40m and width 1.16m.He made cylindrical tins closed on both sides of height 20 cm and radius 7 cm.while making each tin 88 sq cm sheet is wasted then how many tins can be Made from that sheet​

Answer 1

Tins can be Made from that sheet​ is 40

Step-by-step explanation:

As per question the length of sheet is 4.40 m = 440 cm, and the width is 1.16 m = 116 cm, Radius = 7 cm , & Height = 20 cm

So the area of given size sheet will be = length x width

                                                                = 440 x 116

                                                                = 51040 $cm^2$

Now the area of sheet required for making one tin = $2\pi rh$ + $2\pi r^2$

    = $2*\frac{22}{7} *7*20 +2*\frac{22}{7} *7^2$

    = 880 + 308

    = 1188 $cm^2$

Now according to question 88 $cm^2$ sheet is wasted in making one tin,

So the totatl area of sheet required to make one tin = 1188 + 88

                                                                                      = 1276 $cm^2$

So the number of tin which can be made from the given sheet = $\frac{Total area of given sheet}{Total area required for one tin}$

              = $\frac{51040}{1276}$

              = 40 (Ans)