Mason is working on a project where he has to create a model of a silo. He decides to make the silo (cylinder) in the shape of a cylinder with a radius of 4 yd. If the volume of the silo (cylinder) is 80 yd, can you help Emma and Charlotte calculate the height of the silo to the nearest tenth? Use I ~ 3.14.
A) 4,019.2 yds
B) 1.6 yds
C) 1.65 yds
D) 6.4 yds
The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.
In this case, we know that the radius (r) is 4 yd and the volume (V) is 80 yd.
Using the formula, we can solve for h:
80 yd = 3.14 * 4^2 * h
80 yd = 3.14 * 16 * h
80 yd = 50.24 h
Now we can solve for h:
h = 80 yd / 50.24
h ≈ 1.592 yds
Therefore, the height of the silo is approximately 1.6 yards.
The correct answer is B) 1.6 yds.