a construction company poured a cylindrical shaped concrete column 15 feet long with a radius of 3 feet. How much concrete did it take to make the column, in terms of π?

Respuesta :

The volume of a cylinder with radius r and height h is

[tex]V=\pi hr^2[/tex]

in your case, the radius is 3 and the height is 15, so we have

[tex]V=\pi\cdot 15 \cdot 3^2=135\pi[/tex]

Answer:

The volume of cylinder in terms of π is [tex]135\pi[/tex] cubic feet

Explanation:

Given the radius of the cylindrical shaped concrete column is 3 feet

Height of the column is 15 feet

The volume of a cylinder is calculated by the formula;

V = [tex]\pi r^2h[/tex], where

r is the radius and h is the height

Substituting the values,

V = [tex]\pi \times (3)2\times (15)[/tex]

V = [tex]\pi \times 9\times 15[/tex]

[tex]V = \pi \times 135\\V = 135\pi[/tex]

Hence, the volume of cylinder in terms of π is [tex]135\pi[/tex] cubic feet