A local library has a number of pillars in the front entrance each pillar of the cylinder the radius of each pillar is 17 inches in the volume for each of the pillar is 231,402.3 cubic inches what is the height of each pillar?
The formula for the volume of a cylinder is:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
In this case, we know that the radius (r) is 17 inches and the volume (V) is 231,402.3 cubic inches. So we can rearrange the formula and solve for h:
h = V/(πr^2)
h = 231402.3/(π(17)^2)
h ≈ 254.2 inches
Therefore, the height of each pillar is approximately 254.2 inches.
To find the height of each pillar, we can use the formula for the volume of a cylinder:
Volume = π * r^2 * h
Where:
- π is a mathematical constant, approximately equal to 3.14159
- r is the radius of the cylinder (17 inches in this case)
- h is the height of the cylinder (what we want to find)
Given that the volume is 231,402.3 cubic inches, and the radius is 17 inches, we can rearrange the formula to solve for h:
231,402.3 = 3.14159 * 17^2 * h
To find the height of each pillar, we can use the formula for the volume of a cylinder:
Volume = π * radius^2 * height
In this case, the radius of each pillar is given as 17 inches, and the volume is given as 231,402.3 cubic inches.
So, we can rearrange the formula to solve for the height:
height = Volume / (π * radius^2)
Let's substitute the given values into the formula:
height = 231,402.3 / (π * 17^2)
Now, let's calculate the height using this formula:
height ≈ 231,402.3 / (3.14 * 17^2)
height ≈ 231,402.3 / (3.14 * 289)
height ≈ 231,402.3 / 907.76
height ≈ 254.93 inches
Therefore, the height of each pillar is approximately 254.93 inches.