Question

By mistake, a quart of oil was dumped into a swimming pool that measures 25.0 m by 30.0 m. The density of the oil was 0.750 g/cm3. Assuming the oil spread into a uniform, thin layer over the water, how thick was the oil slick?

Answer 1

The oil slick thick = 1.256 x 10⁻⁴ cm

Further explanation

Volume is a derivative quantity derived from the length of the principal

The unit of volume can be expressed in liters or milliliters or cubic meters

The conversion is

1 cc = 1 cm3

1 dm = 1 Liter

1 L = 1.06 quart

so for 1 quart = 0.943 L

`\tt 0.943~L=0.943* 10^(-3)m^3`

Volume of oil dumped = volume of swimming pool

`\tt 0.943* 10^(-3)~m^3=25* 30* h(h=thick)\\\\h=(0.943* 10^(-3))/(750~m^2)=1.257* 10^(-6)~m=\boxed{\bold{1.256* 10^(-4)~cm}}`