A grain silo has a circular base with an area of 260 square feet and is 21 feet tall What is the total volume?
1 answer:
The correct answer is 5460 cubic feet or 5460
Explanation:
The silo has a cylindrical shape, in this context, the volume of the silo or any other cylinder can be calculated by using the formula . In this formula the symbol
refers to the number 3.1415..., the letter
refers to the radius of the base and the letter
refers to the height.
Moreover, in this case, it is known the heigh (21 feet) and the area of the base (260 square feet). Additionally, this area of the base is the result of the formula , which is exactly the first section of the formula to find the volume. This implies that by multiplying the area of the base by the height the volume is known. Here is the process:
or
(Area of the base × height)
×
You might be interested in
Domain:
As we see in a numerator we have a square, so
is always 0 or more. Now, there are two possibilities:
1.
We divide two numbers, and first one is positive, so the result will be also positive (it canot be 0 in this case) when
. So:
2.
In this case the result wil be 0 (we have ≥ 0 in our inequality, so it will be a solution).
So the solution to this inequality is:
As we see in a numerator we have a square, so
1.
We divide two numbers, and first one is positive, so the result will be also positive (it canot be 0 in this case) when
2.
In this case the result wil be 0 (we have ≥ 0 in our inequality, so it will be a solution).
So the solution to this inequality is: