Question

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

Answer 1

100.48 cubic units

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
`\pi r^2` where r is the radius.

we will use value of
`\pi` = 3.13

thus area of base of cone is calculated below

`area = \pi r^(2) \\=>area = 3.14 *4^(2) \\=>area = 3.14 *16\\=> area = 50.24`

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.