Question
A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet?
Use TT = 3.14.
A) 88.3 ft
B) 141 ft
C) 70.7 ft
D) 176.6 ft
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet?
Use TT = 3.14.
A) 88.3 ft
B) 141 ft
C) 70.7 ft
D) 176.6 ft
Answers
GPT 3.5
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
In this case, the diameter of the cylinder is 5 feet, so the radius is half of that, which is 5/2 = 2.5 feet.
The height of the cylinder is 9 feet.
Now we can substitute the values into the formula:
V = π(2.5^2)(9)
V = 3.14(6.25)(9)
V ≈ 176.6 ft (rounded to the nearest tenth)
Therefore, the closest value to the volume of the trough in cubic feet is 176.6 ft, which corresponds to option D) 176.6 ft.
In this case, the diameter of the cylinder is 5 feet, so the radius is half of that, which is 5/2 = 2.5 feet.
The height of the cylinder is 9 feet.
Now we can substitute the values into the formula:
V = π(2.5^2)(9)
V = 3.14(6.25)(9)
V ≈ 176.6 ft (rounded to the nearest tenth)
Therefore, the closest value to the volume of the trough in cubic feet is 176.6 ft, which corresponds to option D) 176.6 ft.