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A silo is to be constructed so that a farmer can store grain inside it. The silo is designed to have the shape of a cylinder. I...Question
A silo is to be constructed so that a farmer can store grain inside it. The silo is designed to have the shape of a cylinder. If the height of the silo is 20
feet and the farthest distance between the silo's walls is 6
feet, what is the volume of the silo? Round your answer to the nearest tenth of a cubic foot.
feet and the farthest distance between the silo's walls is 6
feet, what is the volume of the silo? Round your answer to the nearest tenth of a cubic foot.
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Answered by
GPT 3.5
To find the volume of the silo, we need to first find the radius of the cylinder. The farthest distance between the silo's walls can be thought of as the diameter of the cylinder, so the radius (r) is half of that, which is 6/2 = 3 feet.
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Plugging in the values we have:
V = π(3)^2(20)
V = π(9)(20)
V = 180π cubic feet
Approximating π to be 3.14:
V ≈ 180 * 3.14
V ≈ 565.2
Therefore, the volume of the silo is approximately 565.2 cubic feet.
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Plugging in the values we have:
V = π(3)^2(20)
V = π(9)(20)
V = 180π cubic feet
Approximating π to be 3.14:
V ≈ 180 * 3.14
V ≈ 565.2
Therefore, the volume of the silo is approximately 565.2 cubic feet.
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