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
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.