Question

Find the volume of the cone.

2√3 cm
2 cm
V = [?] cm³
Round to the nearest tenth.

Answer 1

V ≈ 14.5 cm³

Explanation:

the volume (V) of a cone is calculated as

V =
`(1)/(3)` πr²h ( r is the radius and h the perpendicular height )

here r = 2 and h = 2
`√(3)` , then

V =
`(1)/(3)` × π × 2² × 2
`√(3)`

=
`(1)/(3)` × π × 4 × 2
`√(3)`

=
`(8\pi √(3) )/(3)`

≈ 14.5 cm³ ( to the nearest tenth )