A round silo is 60 ft tall and has a 15 ft radius. About high would a load of 32,000 cubed feet fill the silo to?
Do I start with pie*radius squared?
It's pi, not pie.
The formula for the volume of a cylinder is
V = pi * r^2 * h
What is the answer to the question above. I got 17.8ft high. Is that correct?
To calculate the height that a load of 32,000 cubic feet would fill the silo to, you can use the formula for the volume of a cylinder:
Volume = π * radius^2 * height
Given that the radius of the silo is 15 ft and the volume of the load is 32,000 cubic feet, we can rearrange the formula to solve for height:
Height = Volume / (π * radius^2)
Plugging in the values, we have:
Height = 32,000 / (π * 15^2)
Now, let's calculate it step-by-step:
1. Calculate the square of the radius:
15^2 = 225
2. Multiply the result by π (approximately 3.14159):
225 * 3.14159 = 706.85825
3. Divide the volume (32,000) by the previous result:
32,000 / 706.85825 = 45.27777...
Therefore, a load of 32,000 cubic feet would fill the silo to approximately 45.28 feet.
To determine the height at which a load of 32,000 cubic feet would fill the silo, we can use the formula for the volume of a cylinder:
Volume = π * radius^2 * height
Given:
Radius = 15 ft
Height = 60 ft
Volume = 32,000 cubic feet
To find the height, we rearrange the formula:
height = Volume / (π * radius^2)
Now let's plug in the values and calculate the result.
height = 32,000 / (π * 15^2)
First, calculate the value of radius squared:
radius^2 = 15^2 = 225
Now substitute the value of radius squared into the equation:
height = 32,000 / (π * 225)
Next, calculate the value of π (pi), which is approximately 3.14159:
height = 32,000 / (3.14159 * 225)
Using a calculator, perform the multiplication:
height ≈ 32,000 / 706.857
height ≈ 45.289
Therefore, a load of 32,000 cubic feet would fill the silo to approximately 45.289 feet.