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]