00:05Numerical number 9 of unit 1 is the diameter of moon is 3480 km.
00:13What is the volume of the moon?
00:16How many moons would be needed to create a volume equal to that of earth?
00:24As the radius of earth is given which is 6380 km.
00:33So, we will make the data of the moon as the diameter of the moon is given.
00:52Which is 3480 km.
01:01Radius of earth is also given which is 6380 km.
01:15We have to find volume of moon and number of moons on earth.
01:35So, for solution is volume of moon is calculated by this formula 4 upon 3 pi r m cube means
01:57the radius of moon cube.
02:03First we find radius of moon is first we will find radius of moon is radius of moon is equal
02:21to half of the diameter of moon.
02:30So diameter of moon is 3480 divided by 2.
02:37So radius of moon will be obtained is 1740 km.
02:47Now volume of moon will be obtained is 4 upon 3 multiplied with pi.
02:57The value of pi is 3.14 multiplied with cube of the radius of moon.
03:06The radius of moon is 1740 whole cube.
03:12So volume of moon will be obtained is after simplification means simplifying these values we will get the final
03:23final answer is 2.2 into 10 raised power 10 kilometer cube.
03:34So this is the answer for the volume of moon or in meters it will be as volume of moon
03:44will
03:442.2 into 10 raised power 10 is 1 kilometer cube is equal to 10 raised power 9 meter cube.
03:58So volume of moon will be as 2.2 into 10 raised power when in multiplication the bases are same
04:07then we will add the powers it will be 10 raised power 19 meter cube.
04:23Now volume of earth is the volume of earth is calculated by using formula 4 upon 3 pi r cube
04:35means the cube on the radius of earth.
04:39So volume of earth will be obtained is 4 upon 3 into 3.14 the cube on the radius of
04:49the earth.
04:50As the radius of earth is given which is 6380 kilometers so whole cube.
04:59So after simplification we will get the volume of earth is 1.08 into 10 raised power 12 kilometer
05:13cube.
05:16So this is the volume of earth.
05:20Now finally we have to find number of moons means n is equal to what.
05:31As number of moons is calculated by using formula volume of earth divided by volume of moon as
05:42volume of earth is 1.08 into 10 raised power 12 divided by volume of moon which is 2.2
05:53into 10 raised power 10 kilometer cube.
05:59So number of moons will be obtained is after simplifying these values we will get final answer is 49.4
06:09moons.
06:14So this is our second and final answer means number of moons is obtained is 49.4 moons.
06:27So remember what is the name of
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