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?
Responses
A 125π ft3
125π ft 3
B 130π ft3
130π ft 3
C 135π ft3
135π ft 3
D 140π ft3
The formula to calculate the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
In this case, the radius is 3 feet and the height is 15 feet.
V = π(3^2)(15)
= π(9)(15)
= 135π
Therefore, the amount of concrete used to make the column is 135π ft3.
The correct answer is C) 135π ft3
To find the volume of a cylindrical column, we use the formula V = πr^2h, where r is the radius and h is the height.
Given that the radius is 3 feet and the height is 15 feet, we can plug these values into the formula:
V = π(3^2)(15)
= 9π(15)
= 135π ft^3
Therefore, it took 135π ft^3 of concrete to make the column.
The correct answer is C) 135π ft^3.
To find the volume of the cylindrical column, we can use the formula for the volume of a cylinder: V = πr^2h, where V is the volume, r is the radius, and h is the height.
In this case, the radius (r) is given as 3 feet and the height (h) is given as 15 feet. Substituting these values into the formula, we get:
V = π(3^2)(15)
V = π(9)(15)
V = 135π ft^3
Therefore, the amount of concrete it took to make the column, in terms of π, is 135π ft^3.
So, the correct answer is C. 135π ft^3.