Question

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?

Answer 1

Answer:

The volume of cylinder in terms of π is $135\pi$ 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 = $\pi r^2h$, where

r is the radius and h is the height

Substituting the values,

V = $\pi \times (3)2\times (15)$

V = $\pi \times 9\times 15$

$V = \pi \times 135\\V = 135\pi$

Hence, the volume of cylinder in terms of π is $135\pi$ cubic feet

Answer 2

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

$V=\pi hr^2$

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

$V=\pi\cdot 15 \cdot 3^2=135\pi$