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The diameter of a planet is about 25,660 mi. The diameter of the planet's moon is about 35% of the diameter of the planet. What percent of the volume of the planet is the volume of its moon?
The volume of the planet's moon is % of the volume of its planet.
(Round to the nearest whole number as needed.)

Sagot :

Answer:

4%

Step-by-step explanation:

Volume of sphere

v = (4/3)πr^3

Volume moon/ volume planet

We don't actually need the numeric value of the radius

just the 35% ratio

Radius of moon = .35 radius of planet

Vm/ Vp = (4/3)π(.35r)^3 / (4/3)π(r)^3

Cancel like terms

Vm / Vp = .35^3

Vm / Vp = 0.042875

Expressed as a percentage

Vm / Vp = 4.2875%

Rounded

Vm / Vp = 4%

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