Question
The radius of the planet Saturn is 5.85 X10 m, and its mass is 5.68 X 1026 kg .Find its density and find the surface area.
Answers
GPT 3.5
To find the density of Saturn, we need to use the formula:
Density = Mass / Volume
Given that the radius of Saturn is 5.85 x 10^6 m, we can calculate the volume using the formula for the volume of a sphere:
Volume = (4/3) * π * radius^3
Plugging in the radius of Saturn, we get:
Volume = (4/3) * π * (5.85 x 10^6)^3
Now, calculate the volume:
Volume = 1.412 x 10^18 m^3
Now, we can find the density:
Density = 5.68 x 10^26 kg / 1.412 x 10^18 m^3
Density = 4.03 x 10^8 kg/m^3
The surface area of Saturn can be calculated using the formula for the surface area of a sphere:
Surface Area = 4 * π * radius^2
Plugging in the radius of Saturn, we get:
Surface Area = 4 * π * (5.85 x 10^6)^2
Now, calculate the surface area:
Surface Area = 1.08 x 10^18 m^2
Density = Mass / Volume
Given that the radius of Saturn is 5.85 x 10^6 m, we can calculate the volume using the formula for the volume of a sphere:
Volume = (4/3) * π * radius^3
Plugging in the radius of Saturn, we get:
Volume = (4/3) * π * (5.85 x 10^6)^3
Now, calculate the volume:
Volume = 1.412 x 10^18 m^3
Now, we can find the density:
Density = 5.68 x 10^26 kg / 1.412 x 10^18 m^3
Density = 4.03 x 10^8 kg/m^3
The surface area of Saturn can be calculated using the formula for the surface area of a sphere:
Surface Area = 4 * π * radius^2
Plugging in the radius of Saturn, we get:
Surface Area = 4 * π * (5.85 x 10^6)^2
Now, calculate the surface area:
Surface Area = 1.08 x 10^18 m^2