What part of a ditch, 48 m long 16.5 m broad and 4 m deep can be filled

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RRB TC CC Exam (Chandigarh) 2008 click here to view all questions

What part of a ditch, 48 m long 16.5 m broad and 4 m deep can be filled by the earth got by digging a cylindrical tunnel of diameter 4 m and length 56 m ?

A$$\frac{1}{9}$$

B$$\frac{2}{9}$$

C$$\frac{7}{9}$$

D$$\frac{8}{9}$$

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Answer is : b.) $\frac{2}{9}$ Explanation: Volume of the earth dugout as a tunnel = πr2h = $\Big(\frac{22}{7}\Big) \times 2 \times 2 \times 56$ = $\text{704 }m^3$ $\text{Volume of the ditch = }\frac{(48 \times 33)}{(2)}\times 4 \implies 24 \times 33 \times 4 \implies \text{3168 }m^3$ ∴ $\text{Part required = }\frac{704}{3168} \implies \frac{2}{9}$ Nithin K ? answered Apr 7 '2018 at 16:54 All Comments

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