A swimming pool water with a rectangular shape, $5$ m long, $3\mathrm{.}5$ m wide, and $1\mathrm{.}2$ m deep is intended to be heated by a solar photovoltaic $($PV$)$ system. Take the following presumptions:

$1-$ The filling water temperature is $15C.$

$2-$ The desired pool temperature is $30C.$

$4-$ The atmospheric pressure, $(P_{\text{a}\text{t}\text{m}})=100$kPa.

$5-$ The total heat loss from the pool is negligible.

Calculate:

A$)$ The necessary power to heat the pool in one day.

$)$ The number of solar PV panels.

c$)$ The cost of the intended solar PV system.