Question

A swimming pool is 50 metres long and 15 metres wide. It's shallow and deep ends are 1.5 metres and 4.5 metres deep respectively. Find the amount of water required to fill the pool

Answer 1

Question:-

A swimming pool is 50 meters long and 15 meters wide. It's shallow and deep ends are 1.5 meters and 4.5 meters deep respectively. Find the amount of water required to fill the pool.

Required Answer:-

Given:-

• Length of the swimming pool = 50 meters
• Width of the swimming pool = 15 meters.
• Height of the shallow end of the pool = 1.5 meters
• Height of the deep end of the pool = 4.5 meters.

To find:-

• The amount of water required to fill the pool

Solution:-

|| Kindly see the attachment

To find the amount of the water required to fill the pool, first we have to find the volume of the pool. And to find the volume of the pool we have to find the area of the pool which is in trapezium shape.

We know that,

• Area of trapezium = ½(Sum of the parallel sides)(Perpendicular difference between them)

From the figure of the pool, we get:-

• Parallel sides of the pool are at a length of 1.5m and 4.5 m
• Distance between the parallel sides is 50m

Substituting the values:-

Area of the pool = ½(1.5 + 4.5)(50)

=> Area of the pool = 1/2 × 6 × 50

=> Area of the pool = 150m^(2)

Again,

Volume of the pool = Area of the pool × width of the pool

=> Volume of the pool = 150 × 15

=> Volume of the pool = 2250m^(3)

Now,

We know that:-

1m^(3) = 1 kilolitre

∴ 2250m^(30) = 2250 kiloliters

Hence, the amount of water required to fill the pool is 2250 kilolitres