Answer:
B
Step-by-step explanation:
Here, we have a grain silo having 2 shapes fused together to make it.
A cylinder and then a hemisphere ( half sphere)
Now, we want to calculate the volume of grain that could completely fill the silo.
Mathematically, to do that, we will need to add the volume of the cylinder to the volume of the hemisphere.
Mathematically,
Volume of cylinder is;
pi * r^2 * h
From the question, r = 6 ft and h = 168 with pi = 22/7
Substituting these values, we have
Volume of cylinder= pi * 6^2 * 168 = 6,048 pi
The volume of the sphere will be;
4/3* pi * r^3= 4/3 * pi * 6^3 = 288 pi
So the total volume of the silo will be;
288 pi + 6,048 pi = 6336 pi
So to have the final result, let’s multiply by value of pi
6336 * 22/7 = 19,193 ft^3
The closest answer here probably due to previous approximations is 19,008 ft^3
