Respuesta :

Volume of the cone = 56.52 in³

Solution:

Diameter of the cone = 6 in

Radius of the cone = 6 ÷ 2 = 3 in

Height of the cone = 6 in

The value of π = 3.14

To find the volume of the cone:

Volume of the cone = [tex]\frac{1}{3} \pi r^{2} h[/tex]

                                 [tex]$=\frac{1}{3} \times 3.14 \times 3^{2} \times 6[/tex]

                                 [tex]$=3.14 \times 18[/tex]

                                 = 56.52

Volume of the cone = 56.52 in³

Hence the volume of the given cone is 56.52 [tex]\text{in}^3[/tex].