A grain silo with the shape of a right cylinder is to be filled with corn. The diameter of the silo is 14 feet and the height is 30 feet.
Excluding the domed top, approximately how many cubic feet of corn will the silo hold? Use 3.14 forπ.
Responses
1318.8
1318.8
1472.7
1472.7
4615.8
4615.8
18,463.2
18,463.2
The formula for the volume of a cylinder is V = πr^2h, where r is the radius (half the diameter) and h is the height.
In this case, the diameter is 14 feet, so the radius is 7 feet. The height is 30 feet.
Plugging in these values, we get:
V = 3.14 x 7^2 x 30
V = 4615.8 cubic feet
Therefore, the silo will hold approximately 4615.8 cubic feet of corn, excluding the domed top.
To find the volume of the silo, we need to calculate the volume of a cylinder, which is given by the formula:
V = π * r^2 * h
Where:
V = volume
π = 3.14 (approximate value of pi)
r = radius of the silo (half the diameter)
h = height of the silo
The problem states that the diameter of the silo is 14 feet. To find the radius, we divide the diameter by 2:
r = 14 / 2 = 7 feet
The height of the silo is given as 30 feet.
Now, we can substitute the values into the volume formula:
V = 3.14 * 7^2 * 30
Calculating this expression gives us:
V = 3.14 * 49 * 30
V = 4615.8 cubic feet
Therefore, the silo will hold approximately 4615.8 cubic feet of corn.
To find the volume of the grain silo, we can use the formula for the volume of a cylinder, which is given by V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given that the diameter of the silo is 14 feet, the radius would be half of the diameter, which is 14/2 = 7 feet.
Using the formula, we can substitute the values and calculate the volume:
V = 3.14 * 7^2 * 30
V = 3.14 * 49 * 30
V = 4615.8 cubic feet
Therefore, the silo will hold approximately 4615.8 cubic feet of corn.