Respuesta :
The surface area and the volume of mercury whose shape can be approximated by a sphere is 7.5ˣ10⁷ squared km and 6.1ˣ10¹⁰ cubed km respectively.
What is of volume of sphere?
Volume of sphere is the amount of quantity, which is obtained by the it in the 3 dimensional space.
The volume of the sphere can be given as,
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
The surface area of a sphere can be calculated with the following formula,
[tex]A_s=4\pi r^2[/tex]
Here, (r) is the radius of the sphere.
The shape of mercury can be approximated by a sphere with a diameter of 4880 kilometers. The radius of it is the half of the diameter. Thus,
[tex]r=\dfrac{4880}{2}\\r=2440[/tex]
Thus, the surface area of it is,
[tex]A_s=4\pi (2440)^2\\A_s\approx7.5\times10^7\rm \; km^2[/tex]
The volume of the mercury is,
[tex]V=\dfrac{4}{3}\pi r^3\\V=\dfrac{4}{3}\pi (2440)^3\\V\approx6.1\times10^{10}\rm\; km^3[/tex]
Thus, the surface area and the volume of mercury whose shape can be approximated by a sphere is 7.5ˣ10⁷ squared km and 6.1ˣ10¹⁰ cubed km respectively.
Learn more about the volume of sphere here;
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