The density of the Earth is about 3.5g/cubic centimeters. If the Earth has a radius of 1.126 by 10 (to the seventh power) meters, what is its mass? (hint: volume= 4(pie)r(to the third power)/3; 1 meter=100 centimeters
To find the mass of the Earth, we can use the formula:
mass = density * volume
First, let's convert the radius of the Earth from meters to centimeters using the given hint:
radius = 1.126 x 10^7 meters * 100 centimeters/meter
= 1.126 x 10^9 centimeters
Now, let's calculate the volume of the Earth using the formula for the volume of a sphere:
volume = (4/3) * π * r^3
volume = (4/3) * π * (1.126 x 10^9)^3 cubic centimeters
Next, we can substitute the given density of the Earth into the formula to calculate the mass:
mass = density * volume
= 3.5 grams/cubic centimeters * (4/3) * π * (1.126 x 10^9)^3 cubic centimeters
Calculating this value will give us the mass of the Earth in grams. If you wish to convert it to another unit, such as kilograms, you can divide the mass by 1000 since there are 1000 grams in a kilogram.