Respuesta :
Answer:
Option: C is the correct answer.
The volume of grain silo is:
116.5 m^3
Step-by-step explanation:
A grain silo has a diameter of 4.4 meters. The height of its cylindrical portion is 6.2 meters.
A grain silo is made up of a cylinder and a hemisphere over it.
The radius(r) of cylinder is:4.4/2=2.2 meters.
Height(h) of cylinder is:6.2 meters.
Now volume of grain silo is:
Volume of cylinder(V)+ Volume of hemisphere(V').
Volume of cylinder is calculated as:
[tex]V=\pi r^2h[/tex]
and Volume of hemisphere is calculated as:
[tex]V'=\dfrac{2}{3} \pi r^3[/tex]
Hence, volume of grain silo is:
[tex]\pi r^2h+\dfrac{2}{3}\pi r^3\\\\\\=\pi r^2(h+\dfrac{2}{3}r)\\\\=3.14\times (2.2)^2(6.2+\dfrac{2}{3}\times 2.2)\\\\=15.1976(6.2+1.466)\\\\=116.5m^3[/tex]
Hence, the volume of the grain silo to the nearest tenth of cubic meter is:
116.5 m^3
