Swimming pool is circular with a 40-ft diameter. the depth is constant along east-west lines and increases linearly from 3 ft at the south end to 8 ft at the north end. find the volume of water in the pool.

The volume of water in the pool is 6908 cubic feet.

Step-by-step explanation:

Given : Swimming pool is circular with a 40-ft diameter. The depth is constant along east-west lines and increases linearly from 3 ft at the south end to 8 ft at the north end.

To find : The volume of water in the pool?

Solution :

Swimming pool is circular with a 40-ft diameter.

The radius of the pool is

The depth is constant along east-west lines and increases linearly from 3 ft at the south end to 8 ft at the north end.

Depth average is

The volume is given by,

The volume of water in the pool is 6908 cubic feet.

  21.3

step-by-step explanation:

multiplying the given equation by c/sin(25°), we get

  c = 9/sin(25°) ≈ 21.2958 ≈ 21.3

we assume "c" is the length of ab, the side opposite angle c in triangle abc.