CO
The diameter of the base of the cone
measures 8 units. The height of the
cone measures 6 units. What is the
volume of the cone?
8
24 T cubic units
64 i cubic units
32 cubic units
48 cubic units

Respuesta :

Answer:

100.48 cubic units

Step-by-step explanation:

Given :

Diameter = 8 units

we know radius is half of diameter

radius = Diameter/2 = 8/2 = 4 units

Height = 6 unit.

Shape of figure : cone

we know that volume of cone is 1/3(area of base * height of cone)

area of base is given by [tex]\pi r^2[/tex] where r is the radius.

we will use value of  [tex]\pi[/tex] = 3.13

thus area of base of cone is calculated below

[tex]area = \pi r^{2} \\=>area = 3.14 *4^{2} \\=>area = 3.14 *16\\=> area = 50.24[/tex]

Now volume of cone = 1/3*(area of base * height of cone)

                                   = 1/3* 50.24*6 = 100.48.

Thus, volume of cone is 100.48 cubic units.