Answer:
The volume of planet is 3477.378347 × [tex]10^{6}[/tex] mi³
Step-by-step explanation:
Given as :
The diameter of a planet = 1880 mi
So, the radius of planet = [tex]\dfrac{\textrm Diameter}{2}[/tex]
i.e radius = [tex]\frac{1880}{2}[/tex] = 940 mi
Let The volume of planet = V mi³
Since The shape of planet is similar to the shape of sphere
So, The volume of sphere = The volume of planet = [tex]\frac{4}{3} \pi[/tex] r³
where r is the radius of sphere
and value of [tex]\pi[/tex] is 3.14
∴ The volume of planet = [tex]\frac{4}{3} \pi[/tex] r³
Or, The volume of planet = [tex]\frac{4}{3} × 3.14 × (940)³
or, The volume of planet = [tex]\frac{4}{3} × 3.14 × 830584000
Or, The volume of planet = 3477378347 mi³
I.e The volume of planet = 3477.378347 × [tex]10^{6}[/tex] mi³
Hence The volume of planet is 3477.378347 × [tex]10^{6}[/tex] mi³ Answer
