Question

what is the density of a sphere that has a radius of 6 cm and a mass of 100 g

Answer 1

Answer:

The definition of density of a body is mass of the body per unit volume of the body. From this we get Density = Mass/Volume.

In the above problem, We have 2 things: Mass of the sphere is 100 g and Radius of the sphere is 3 centimeter.

Thus we have to find the volume of the sphere.

The formula for finding the volume of a sphere is:

4/3*pi*r*r*r( Here r stands for radius..we find r to the power 3)

If u do math here, the vol. of the sphere is 113.1 cm 3 .

So we have the mass and volume of the sphere. That’s all that we need. Just plug in the values: Density= 100/113.1 g/cm 3 .

If you do the math here, you get the value of density of the sphere as 0.8841 g/cm 3 .

Answer 2

Given - Radius of sphere = 6 centimetres

Mass of sphere = 100 grams

Find - Density of sphere

Solution - Density is calculated by the formula density = mass/volume.

Calculating volume of sphere by the formula = 4/3*π*r³, where r is radius.

Keeping the values in formula, we get-

Volume = 4/3*π*6³

Volume = 904.8 cm³

Finding the density-

Density = 100/904.8

Density = 0.11 g/cm³

Thus, density of sphere is 0.11 g/cm³.