Question

A 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. (Round your answer to the nearest whole number.)

Answer 1

Answer:

$V=6912ft^3$

Step-by-step explanation:

From the question we are told that:

Diameter  $D=40ft$

Radius $r=d/2=>20ft$

Depth at south $d_s=3ft$

Depth at north $d_n=8ft$

Average depth of the pool

 $d_a=\frac{3+8}{2}$

 $d_a=5.5ft$

Generally the equation for Volume is mathematically given by

 $V=\pi r^2h$

 $V=3.142*(20)^25.5$

 $V=6912ft^3$