Thread: volume of elliptical object

hello I have to find the volume in metres cubed and in litres cubed of an above ground swimming pool. the surface area of the pool is of an axis 2 metres and 3 metres.the depth is 1.3 metres. so 2 times 3 times 1.3m=7.8 metres cubed. how to find how many litres correct to the nearest 10 litres? I need answer in about 24 hours thanks.

Originally Posted by mat

hello I have to find the volume in metres cubed and in litres cubed of an above ground swimming pool. the surface area of the pool is of an axis 2 metres and 3 metres.the depth is 1.3 metres. so 2 times 3 times 1.3m=7.8 metres cubed. how to find how many litres correct to the nearest 10 litres? I need answer in about 24 hours thanks.

According to your headline and the wording of the question I assume that the base area of the pool has to be an ellipse.

1. Area of an ellipse:

...... Sub in the values for a and b (in meters!)

...... therefore the volume of the pool is:



Use the property: One liter is the same as one decimeter cubed and one decimeter is the same as 10 cm. Therefore:

So the pool contains:

to the nearest 10 l.