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  • The cost of panting the total outside surface of a closed cylindrical oil tank at 60 paise per sq. dm is Rs 237.60 . The height of the tank is 6 times the radius of the base of the tank . Find its volume correct to two decimal places .

The cost of panting the total outside surface of a closed cylindrical oil tank at 60 paise per sq. dm is Rs 237.60 . The height of the tank is 6 times the radius of the base of the tank . Find its volume correct to two decimal places .

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Solution:  We have , 

                                h = height of the cylindrical pipe = 21 dm = 210cm               [ 1 dm = 10cm ]

                                R = External radius

                                   = frac102 cm = 5 cm ,                 

                                 r = Internal radius 

                                    = frac62cm = 3cm

Volume of the copper used in making the pipe 

                                                                         = Volume of the external cylinder - Volume of the internal cylinder

                                                                          = pi R^2h - pi r^2h=pi(R^2-r^2)h

                                                                          = frac227 imes (5^2-3^2) imes 210cm^3= frac227 imes 16 imes 210cm^3=10560cm^3

Posted by

Deependra Verma

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