a farmer want to dig a well either in the form of cuboidal shape of 1.5 metre into 1.5 metre into 7 metre in the cylinder shape of radius 75 cm and height 7 metre the rate of 12 rupees 75 metre cube the farmer decided to dig form of well. (π=22\7). (a). Calculate the cost to dig the well in both cases. (b). By the decision what value is depicted by the farmer. (π=22/7)
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solution : - Given : dimension of cuboid 1 m 1 m 7 m
And
Diameter of cylinder 1 m so , radius = 12 m and Height of cylinder = 7 m
As given Rate of dig the well is Rs . 50 per m3 , So that means here rate of per cubic meter , So we find volume of each type of well , As :
i ) Cost of digging well in form of cuboid = Volume of cuboid Rate per m3
We know Volume of cuboid = Length Breadth Height
So,
Volume of cuboid = 1 1 7 = 7 m3
So,
Cost of digging well in form of cuboid = 7 50 = Rs. 350
And
Cost of digging well in form of cylinder = Volume of cylinder Rate per m3
We know Volume of cylinder = πr2h
So,
Volume of cylinder =2271212722455m3
So,
Cost of digging well in form of cylinder = 5.5 50 = Rs. 275
ii ) By choosing shape of well is cylinder , Ramlal savied his money by doing so ramlal shows that saving money is good .
And
Diameter of cylinder 1 m so , radius = 12 m and Height of cylinder = 7 m
As given Rate of dig the well is Rs . 50 per m3 , So that means here rate of per cubic meter , So we find volume of each type of well , As :
i ) Cost of digging well in form of cuboid = Volume of cuboid Rate per m3
We know Volume of cuboid = Length Breadth Height
So,
Volume of cuboid = 1 1 7 = 7 m3
So,
Cost of digging well in form of cuboid = 7 50 = Rs. 350
And
Cost of digging well in form of cylinder = Volume of cylinder Rate per m3
We know Volume of cylinder = πr2h
So,
Volume of cylinder =2271212722455m3
So,
Cost of digging well in form of cylinder = 5.5 50 = Rs. 275
ii ) By choosing shape of well is cylinder , Ramlal savied his money by doing so ramlal shows that saving money is good .
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