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.
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
1 answer
2 answers