Density = mass / volume
since earth is nearly spherical, Volume = (4/3)pi x r3
find volume, then divide this into the mass.
(all figures approximate)Mass of earth = 5.97 * 1024 kilogramsRadius of earth = 6.371 * 106 metresVolume of earth = 4/3 * pi * radius3 = 1.0832 * 1021 cu metresSo:(average) density = mass / volume = 5,510 kgs / cu metre
What links mass and density is knowing the volume. Density is mass/volume. Mass is essentially weight here on earth, and has the units in grams generally (maybe kilograms depending on how dense) and accordingly, volume may be in cm3 or litres or m3)
The density of the hammer is the same no matter where it is. Density = Mass / volume. Neither Mass nor volume is dependent on gravity there for Density is also independent of gravity.
The idea is to divide the mass by the volume. In this case, you'll get an extremely high density; no substance on Earth will have such a density. So, you would divide 5 kg by 2.5 mL and the density would be 2 kg.
Density = mass/volume = 60/20 = 3grams/ccNote:The Physics and the math in this answer are bullet-proof, but there is no woodon Earth with even half that density. I suspect your block has a concrete center.
Mass = weight /gravity Density = Mass / Volume So, if you know the density and the volume, you can calculate the mass. Also, you can measure the mass by measuring the weight. On earth, mass and weight are equal.
When density and volume are given, the formula for density can be used to determine the mass of the object. density = mass / volume mass = density * volume Assuming the object is on Earth, it can be assumed that g=9.80 N/kg. w= mg, or weight = mass * gravitational constant (of Earth) purely algebraically, weight = density * volume * gravitational constant.
Density = mass / volume
We know the size (volume) of the planet AND its mass. Density is mass divided by volume.
Density=mass/volume density of water in the whole earth is 1
This is hard to calculate precisely, due to the fact that Earth's density increases towards the center. However, you make a simplified calculation, by assuming a uniform density. Just calculate the ratio of the volume (and therefore, of mass) of a sphere which has half the radius of the Earth, and calculate the gravitational attraction (once again, you only need a ratio, compared to the complete Earth) on that object.
Volume increases with the Cube of the radius, so an easy way to compute the volume of the giant planet is to simply take the ratio of the radius Giant Planet: Earth and raise it to the 3rd power.Since these planets are the same shape (Spherical) this ratio is accurate enough for our purposes. In the case of an object that is oblate (like Saturn or Jupiter), one can still calculate the volume accurately by taking the Equatorial Radius squared and multiplying it by the Polar Radius.In this given case the volume of Giant Planet = 14 x 14 x 14, or 2,744x that of Earth.Since Mass = 681x that of Earth, Density = 681/2744 = 0.248 of Earth's (just a little under one quarter).You could go one step further to calculate the density of this object by multiplying the density ratio by Earth's density (5.515x water) - so Giant Planet's density = 1.369 grams/cm3.
(all figures approximate)Mass of earth = 5.97 * 1024 kilogramsRadius of earth = 6.371 * 106 metresVolume of earth = 4/3 * pi * radius3 = 1.0832 * 1021 cu metresSo:(average) density = mass / volume = 5,510 kgs / cu metre
If you want an approximate answer, we can assume the Earth and the Moon to be spheres, then go google for their radii, and plug that in the formula for volume of a sphere,V=(4/3)*pi*(radius)^3. Volume of Earth about 1.08321 x 10^12 km^3 Volume of Moon about 2.1958 x 10^10 km^3 The purpose of my answer was to explain how to calculate the volume not of just earth and moon, but any celestial object that can be approximated to a sphere, provided you know the radius. ps- I know the question is to tell the volume, not how to calculate it, but I thought the latter way of approaching the question would be more helpful!
For any object, the mass is the product of its volume and its density. In the case of Earth, that would be the averagedensity. The volume, of course, can be calculated on the basis of its radius. Use the formula for a sphere; that's close enough for most purposes.
This is due to Saturn's density being much lower than Earth's density.
Convert all the measurements to compatible units, for example, decimeters. Calculate the volume. Look up the density of steel, then use the formula: mass = density x volume If you converted to SI units, that will give you the mass (not the weight) in kilograms. To actually convert to weight, multiply by 9.8 (assuming normal Earth gravity); this will give you the weight in newton.