an olympic size pool is 50.0m long 25.0 m wide. a) how many gallons of water(d = 1.0g/mL) are needed to fill the pool to an average depth of 4.8ft? b) what is the mass (in kg) of water in the pool?
Do I ever use the density formula in this?
an olympic size pool is 50.0m long 25.0 m wide. a) how many gallons of water(d = 1.0g/mL) are needed to fill the pool to an average depth of 4.8ft? b) what is the mass (in kg) of water in the pool?
Do I ever use the density formula in this?
But of course you must use the units!
From the definition of density:
$\displaystyle density = \dfrac{mass}{volume}$
you'll get the mass by
$\displaystyle mass = density \cdot volume$
Since 4.8' = 1.46304 m you'll get the volume of the pool as:
$\displaystyle V = 50\ m \cdot 25\ m \cdot 1.46304\ m = 1,828.8\ m^3 = 1.8288\cdot 10^9\ ml$
Then the mass is
$\displaystyle m = 1\ \frac g{ml} \cdot 1.8288\cdot 10^9\ ml = 1.8288\cdot 10^9\ g = 1.8288\cdot 10^6\ kg$