Question

A pool is 60.0 m long and 35.0 m wide. How many mL of water are needed to fill the pool to an average depth of 6.35 ft? Enter your answer in scientific notation.

Answer 1

4.07 × 10⁹ mL

Step-by-step explanation:

Step 1: Given data

Length of the pool (L): 60.0 m

Width of the pool (W): 35.0 m

Depth of water in the pool (D): 6.35 ft

Step 2: Convert "D" to m

We will use the relationship 1 m = 3.28 ft

`6.35ft * (1m)/(3.28ft) = 1.94m`

Step 3: Calculate the volume of water (V)

We will use the following expression.

`V = L * W * D = 60.0m * 35.0m * 1.94 m = 4.07 * 10^(3) m^(3)`

Step 4: Convert "V" to mL

We will use the relationship 1 m³ = 10⁶ mL.

`4.07 * 10^(3) m^(3) * (10^(6)mL )/(1m^(3) ) = 4.07 * 10^(9) mL`