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Ede4ka [16]
4 years ago
10

A swimming pool is circular with a 20-ft diameter. The depth is constant along east-west lines and increases linearly from 1 ft

at the south end to 6 ft at the north end. Find the volume of water in the pool. (Round your answer to the nearest whole number.) ft3

Mathematics
1 answer:
Ket [755]4 years ago
6 0

Answer:

1100 \text{feet}^3

Step-by-step explanation:

GIVEN: A swimming pool is circular with a 20\text{ feet} diameter. The depth is constant along east-west lines and increases linearly from 1\text{ feet} at the south end to 6\text{ feet} at the north end.

TO FIND: Find the volume of water in the pool.

SOLUTION:

Consider the image attached.

when two similar figures are attached a new cylinder is formed. volume of swimming pool is half of volume of new cylinder formed.

radius of new cylinder =\frac{\text{diameter}}{2}=\frac{20}{2}=10\text{ feet}

height of new cylinder =6+1=7\text{ feet}

volume of cylinder =\pi r^2h=\frac{22}{7}\times(10)^27

                               =2200\text{ feet}^3

Volume of swimming pool =\frac{\text{volume of cylinder}}{2}=\frac{2200}{2}

                                           =1100\text{ feet}^3

Hence volume of water in the pool is 1100 \text{feet}^3.

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