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Answer :
Width of the canal = 6 m
Depth of the canal = 1.5 m
Length of water column per hour = 10 km
Length of water column in 30 minutes or \(\frac{1}{2}\) hour \( = \ \frac{1}{2} \ × \ 10 \ = \ 5000 \) m
Volume of water flown in 30 minutes \(= \ 1.5 \ × \ 6 \ × \ 5000 \ = \ 45000 \) m3
\(\because \) \( 8 \) cm \( = \ \frac{8}{100} \) m
i.e., 0.08 m standing water is desired
\(\therefore \) Area irrigated in 30 minutes
\( = \ \frac{Volume}{Height} \ = \ \frac{45000}{0.08} \ = \ 562500 \) m2 or \(56.25 \) hectares