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.

What's your problem here? It's just substituting and some changes in units. By the way, that's pi the Greek letter and not the pie we eat.