Respuesta :

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

Answer: The density of cone is [tex]0.115g/cm^3[/tex]

Explanation:

The equation used to calculate the volume of cone is:

[tex]V=\frac{1}{3}\pi r^2h[/tex]

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:

[tex]V=\frac{1}{3}\times (3.14)\times (5)^2\times 2\\\\V=52.33cm^3[/tex]

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

[tex]\text{Density of a substance}=\frac{\text{Mass of a substance}}{\text{Volume of a substance}}[/tex]

We are given:

Mass of cone = 6 g

Volume of cone = [tex]52.33cm^3[/tex]

Putting values in above equation, we get:

[tex]\text{Density of cone}=\frac{6g}{52.33cm^3}\\\\\text{Density of cone}=0.115g/cm^3[/tex]

Hence, the density of cone is [tex]0.115g/cm^3[/tex]