Question

13. The radius of Earth is approximately 6.4 x 100 m. Use the formula V = 4/3pr^3

Answer 1

We are given

• Radius of Earth; 6.4 x 100 meters = 640 meters

Clearly, the shape of the earth is a sphere. Thus, to determine the volume of the earth, we will use a formula that determines the volume of a sphere.

$\implies \text{Volume of sphere =} \ \dfrac{4\pi r^{3}}{3}$

When we substitute the radius in the formula, we get;

$\implies\text{Volume of sphere} = \dfrac{4\pi (640)^{3}}{3}$

$\implies\text{Volume of sphere} = \dfrac{4\pi (640)(640)(640)}{3}$

Take π as 3.14

$\implies\text{Volume of sphere} = \dfrac{4\pi (640)(640)(640)}{3}$

$\implies \text{Volume of sphere} = \dfrac{4(3.14)(640)(640)(640)}{3}$

Simplify the numerator;

$\implies \text{Volume of sphere} = \dfrac{4(3.14)(640)(640)(640)}{3}$

$\implies \text{Volume of sphere} = \dfrac{3292528640}{3}$

Divide the numerator by 3;

$\implies \text{Volume of sphere} = \dfrac{3292528640}{3}$

$\implies \text{Volume of sphere} = \boxed{1097509546.67 \ \text{m}^{3} } \ \ \ (\text{Estimated})$