Question

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?

Answer 1

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.

Answer 2

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!!