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A farmer wants to dig a well either in the form of cuboid of dimensions $(1 m × 1 m × 7 m)$ or in the form of cylinder of diameter $1 m$ and height $7 m$ . The rate to dig the well is Rs.50 per $m 3$ . What is the cost to dig both wells?

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Rs.600

Rs.500

Rs.575

Rs.625

answer is D.

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Detailed Solution

Given that the cuboid of dimensions

(1 m × 1 m × 7 m)

, a cylinder of diameter

1 m

and height

7 m

and the rate to dig the well is Rs.50 per

m 3

.
We have the following formulae,
Volume of cuboid

= L × B × H

Volume of cylinder

= π r 2 h

The volume of cuboidal well will be,

= 1 × 1 × 7

7 m 3

The volume of cylindrical well will be,

227 × 12 × 12 × 7

= 112 m 3 = 5.5 cm 3

The Cost of cuboidal well will be,

= 7 × 50

= Rs.350
The Cost of cylindrical well will be,

= 5.5 × 50

= Rs.275
The cost to dig both the wells will be,
=350+275
=Rs.625
Thus, the cost will be Rs.625.
Therefore the correct option is 4.

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