Respuesta :

Answer:

[tex]33.5\:\mathrm{ft^3}[/tex]

Step-by-step explanation:

The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cone and [tex]h[/tex] is its height.

What we're given:

  • [tex]r[/tex] of 2
  • [tex]h[/tex] of 8

Solving, we get:

[tex]V=\frac{1}{3}\cdot 2^2\pi\cdot 8\approx\boxed{33.5}[/tex]

Answer:

The volume of cone is 33.5ft ³.

Step-by-step explanation:

Using Formula,

Volume of cone = 1/3 × π × r ² × h

Where, r is the radius and h is the height of the cone.

We have given

Radius of cone, r = 2 ft

Height of cone , h = 8 ft

substitute the values into the formula

Volume of cone = 1/3 × 3.14 × ( 2ft ) ² × 8ft

Volume of cone = 1/3 = 3.14 × 4 ft ²× 8ft

multiply

Volume of cone = 1/3 × 100.8 ft ³

divide, we get

Volume of cone = 33.50 ft ³.

Therefore,the volume of cone is 33.50 ft³.