The diameter of the moon is 2155 miles. Find volume of the moon. Round answers to the nearest whole number and leave pi in the answer

Respuesta :

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The volume of a sphere with respect to its diameter is:

V=(4π/3)(d^3/8)

V=(πd^3)/6, since d=2155mi

V≈1667978979π  mi^3

Answer:  [tex]1667978979\pi[/tex] cubic miles

Step-by-step explanation:

We know that the shape of moon is sphere.

The volume of sphere is given by :-

[tex]\text{V}=\dfrac{4}{3}\pi r^3[/tex], where r is the radius of sphere.

Given : The diameter of moon = 2155 miles

Then the radius of moon=[tex]\dfrac{2155}{2}[/tex]

Then , the volume of moon is given by :-

[tex]\text{V}=\dfrac{4}{3}\pi (\dfrac{2155}{2})^3=1667978979.2\pi\approx1667978979\pi \text{ cubic miles}[/tex]