Question

A cone with a mass of 6 g has a radius measuring 5 cm and a height of 2 cm. What is its density?

Answer 1

calculate the volume of the cylinder by the given measurements (5cm and 2 cm) then 6g (mass) ÷ volume of cylinder≈ density

Answer 2

Answer: The density of cone is
`0.115g/cm^3`

Step-by-step explanation:

The equation used to calculate the volume of cone is:

`V=(1)/(3)\pi r^2h`

where,

V = volume of cone

r = radius of the cone = 5 cm

h = height of the cone = 2 cm

Putting values in above equation, we get:

`V=(1)/(3)* (3.14)* (5)^2* 2\\\\V=52.33cm^3`

To calculate volume of a substance, we use the equation:

`\text{Density of a substance}=\frac{\text{Mass of a substance}}{\text{Volume of a substance}}`

We are given:

Mass of cone = 6 g

Volume of cone =
`52.33cm^3`

Putting values in above equation, we get:

`\text{Density of cone}=(6g)/(52.33cm^3)\\\\\text{Density of cone}=0.115g/cm^3`

Hence, the density of cone is
`0.115g/cm^3`