Mensuration

Question
CBSEENMA8003415

A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal. How much sheet of metal is required?

Solution

Here, r = 7 m and h = 3 m
∴             Total surface area =  2 πr left parenthesis straight r plus straight h right parenthesis
                                             = 2 cross times 22 over 7 cross times 7 cross times left parenthesis 7 plus 3 right parenthesis space straight m squared
                                             = 2 cross times 22 over 7 cross times 7 cross times 10 space straight m squared
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                                          space space equals space 440 space straight m squared
Thus,  440 space straight m squared  metal is required.