Respuesta :
The volume of a cone is calculated using the formula: 1/3[tex]\pi[/tex]r^2(h). You are given the height and base diameter of the cone, so first find the radius then substitute the measurements you are given into the equation.
The radius can be calculated using diameter/2, so the radius for this cone is 12/2 = 6 cm. Substitute the height and radius into the formula.
1/3[tex]\pi[/tex](6)^2(4) = 150.8 cm^3.
The volume of the cone whose height is 4 cm and base diameter is 12 cm is 48π cm³ or 150.8 cm³
The volume of a cone can be calculated using the formula
[tex]V = \frac{1}{3} \pi r^{2} h[/tex]
Where V is the volume
r is the radius
h is the height
From the question,
Height of the cone (h) = 4cm
and base diameter of the cone (d) = 12cm
First, we will determine the radius of the cone
From the relationship between radius and diameter,
We have that
[tex]Radius = \frac{Diameter}{2}[/tex]
∴ [tex]r = \frac{12cm}{2}[/tex]
r = 6 cm
Now, for the volume of the cone
Put the parameters into the equation
[tex]V = \frac{1}{3} \pi r^{2} h[/tex]
We get
[tex]V = \frac{1}{3} \pi (6)^{2} \times 4[/tex]
V = [tex]\frac{144\pi }{3}[/tex]
V = 48π cm³ or 150.8 cm³
Hence, the volume of the cone is 48π cm³ or 150.8 cm³
Learn more here: https://brainly.com/question/20607364
