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  • A swimming pool is 40m long and 15m wide. Its shallow and deep ends are 1.5 m and 3m deep respectively. If the bottom of pool slopes uniformly, find the amount of water in litres required, find the amount of water in litres required to fill the pool.

A swimming pool is 40m long and 15m wide. Its shallow and deep ends are 1.5 m and 3m deep respectively. If the bottom of pool slopes uniformly, find the amount of water in litres required, find the amount of water in litres required to fill the pool.

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eginarrayl extThe cross section of the swimming pool is a trapezium with parallel sides 1.5m and 3m\ ext(depth of both ends) and 40m (length of pool) as the perp r extdistance between parallel extsides.\ extThe width of pool 1.5m can be the length of cross section.sides.\ extLength of swimming pool=40m\ extBreadth of the pool=15m\ extDepth of the pool=1.5m extand 3m\ extVolume of the water=frac12left[left(1.5+3 ight) imes40 ight] imes15 m^3\ =frac12 imes4.5 imes40 imes15 m^3=1350m^3\ \ extCapacity of water in litres =1350 imes1000 litres(1m^3=1000litres)\ =1350000 litresendarray

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Deependra Verma

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