MATH SOLVE

2 months ago

Q:
# A grain silo has a diameter of 4.4 meters. The height of its cylindrical portion is 6.2 meters. What is the approximate total volume of the silo? Use 3.14 for Ο and round the answer to the nearest tenth of a cubic meter. 37.1 m3 71.9 m3 116.5 m3 130.8 m3answer is c, because no one has answered

Accepted Solution

A:

Answer:Option: C is the correct answer.The volume of grain silo is:116.5 m^3Step-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