a swimming pool is circular with a 40-ft diameter. the depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end. find the volume of water in the pool. (round your answer to the nearest whole number.)

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04-11-2022
Mathematics

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a swimming pool is circular with a 40-ft diameter. the depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end. find the volume of water in the pool. (round your answer to the nearest whole number.)

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varshamittal029 varshamittal029 · Answer 1 · 2022-11-13T16:49:39+01:00

The volume of water in the pool is 10230 cubic feet.

Given : Swimming pool is circular with a 40-ft diameter. The depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end.

To find : The volume of water in the pool?

Swimming pool is circular with a 40-ft diameter.

The radius of the pool is 40/20 = 20 ft

The depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end.

Depth average is:

Da = 5+10/2

= 7.5

The volume is given by:

V = π × r² × Da

V = 3.41 × (20)² × 7.5

V = 10230 ft²

The volume of water in the pool is 10230 ft² cubic feet.

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