Answer:
Mercury can enter 6.8 times inside the earth
Step-by-step explanation:
To solve this problem we have to calculate the volumes
First we calculate the radius
radius earth = 7917.5mi /2 = 3958.75mi
radius mercury = 3032mi / 2 = 1516mi
To calculate the volume of earth we have to use the following formula:
V = volume
r = radius = 3958.75mi
π = 3.14
V = ⁴⁄₃πr³
we replace with the known values
V = ⁴⁄₃ * 3.14 * (3958.75mi)³
V = 4.187 * 15671701.56 mi³
V = 65617414 mi³
The volume of earth is 65617414 mi³
To calculate the volume of mercury we have to use the following formula:
V = volume
r = radius = 1516mi
π = 3.14
V = ⁴⁄₃πr³
we replace with the known values
V = ⁴⁄₃ * 3.14 * ( 1516mi )³
V = 4.187 * 2298256 mi³
V = 9622797 mi³
The volume of mercury is 9622797 mi³
Now we divide the earth volume by the mercury volume
65617414 mi³ / 9622797 mi³ = 6.819
round to the nearest tenth
6.819 = 6.8
Mercury can enter 6.8 times inside the earth
