Question

A swimming pool is circular with a 40-ft diameter. The depth is constant along east-westlines and increases linearly from 2 ft at the south end to 7 ft at the north end. Find the volume of water in the pool.

Answer 1

Answer:

volume will be equal to 5,655 ft³

Step-by-step explanation:

diameter of swimming pool = 40 ft

depth increases from east-west lines is from 2 ft to 7 ft

so the average depth of the swimming pool can be calculated by

   $D_{avg} = \frac{2+7}{2}$

hence average depth comes out to be  4.5 m

volume of water in the pool will be equal to the volume of the pool

volume = $\pi\times r^2 \times d_{avg}$

            = $\pi\times 20^2 \times 4.5$

            = 5,654.86 ft³

volume will be equal to 5,655 ft³ approximately