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.
A) 188.5 cubic feet
B) 2,261.9 cubic feet
C) 565.5 cubic feet
D) 377.0 cubic feet
A) 188.5 cubic feet
B) 2,261.9 cubic feet
C) 565.5 cubic feet
D) 377.0 cubic feet
Answers
GPT 3.5
The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius and h is the height.
In this case, the farthest distance between the silo's walls is the diameter of the silo, which is 6 feet. The radius (r) can be calculated by dividing the diameter by 2.
r = 6 feet / 2 = 3 feet
The height (h) of the silo is given as 20 feet.
Now we can calculate the volume:
V = π(3^2)(20) ≈ 3.14 * 9 * 20 ≈ 565.2 cubic feet
Rounding to the nearest tenth of a cubic foot, the volume of the silo is approximately 565.2 cubic feet.
Therefore, the correct answer is C) 565.5 cubic feet.
In this case, the farthest distance between the silo's walls is the diameter of the silo, which is 6 feet. The radius (r) can be calculated by dividing the diameter by 2.
r = 6 feet / 2 = 3 feet
The height (h) of the silo is given as 20 feet.
Now we can calculate the volume:
V = π(3^2)(20) ≈ 3.14 * 9 * 20 ≈ 565.2 cubic feet
Rounding to the nearest tenth of a cubic foot, the volume of the silo is approximately 565.2 cubic feet.
Therefore, the correct answer is C) 565.5 cubic feet.
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