earth’s surface has an estimated volume – Discussion Forum

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Kriti

Asked: October 7, 2026In: Class 9 Maths

The Earth’s surface has an estimated volume of 1.38 billion km³ of water. Suppose the Earth is a perfect sphere and all this water forms a uniform layer completely covering the Earth’s surface, like a thin water bubble. Estimate the thickness of this water layer. The Earth’s radius is ~6371 km. (i) Write an expression that gives the thickness of this water layer. (ii) Simplify the expression in (i) using a calculator.

(i) Expression for thickness t is t ≈ V_water/(4πR²) or ∛(R³ + 3V/(4π)) − R. (ii) Surface area is 4π(6371)² ≈ 510,064,472 km². Dividing 1.38 × 10⁹ by this area gives thickness t ≈ 2.705 km (or ~2705 m). Ganita Manjari ...