Question

The surface area and average depth of the Pacific Ocean are 1.8 x 108 km^2 and 3.9 x 103 m, respectively. Calculate the volume of water in the ocean in liters.

Answer 1

the volume of water in the ocean in liters is 3.5126E20 L

Step-by-step explanation:

taking the ocean as if it were a large cylinder, the volume would be:

• V = π*r²*h

∴ h (depth) = 3.9 E3m = 3.9 Km

surface area for the cylinder is:

• S = 2*π*r*h + 2*π*r² = 1.8 E8 Km²

⇒ 2*π*r*(3.9Km) + 2*π*r² - 1.8 E8 Km² = 0.....quadratic formula

⇒ 25.504r + 6.28r² - 1.8 E8 = 0

⇒ r 1 = 5354.4 Km ∧ r 2 = 5350.5 Km; r 1 ≅ r 2

⇒ V = π*(5354.4Km)²*(3.9 Km) = 351265990.6 Km³

⇒ V = 351265990.6 Km³ * ( 1000m / Km)³ * ( 1000L / m³) = 3.5126 E20 L