contestada

your working at a concrete company that specializes in commercial-grade columns.A cylindrical column with a diameter of 3 feet and height of 10 feet is to be made of concrete. how many cubic yards of concrete are needed to fabricate the column?

Respuesta :

altavistard

The volume of a cylinder, which this is, is V = πr^2h, where r is the cylinder raidus and h is the cylinder height.

Here the volume is   V = π(3/2)^2*10 ft^3, or π(9/4)(10) ft^3, or (90/4)π ft^3.

1 cubic yard is equivalent to 27 cubic feet.  Thus, multiply (90/4)π ft^3 by the appropriate conversion factor:

(90/4)π ft^3         1 yd^3

------------------- * ----------------- = 0.833 yd^3

          1               27 ft^3

0.833 cubic yards of concrete would be needed to fill this column form.

sid071

Hey there!!

As the answer shall be in cubic yards, let's convert the given values of feet into yards.

We know :

3 feet = 1 yard

Given : 3 feet diameter - Hence, the diameter = 1 yard and the radius = 0.5 yards

The height given : 10 feet = 10/3 yards

The formula to find the volume :

πr²h

r is the radius

h is the height

Now let's plug in all the values :

...π(0.5)²(10/3)

...π(0.25)(10/3)

...(3.14)(0.25)(10/3)

...(7.85/3)

...2.616

Hence, the answer is around 2.62 cubic yards.

Hope my answer helps!!