Question

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 π and round the answer to the nearest tenth of a cubic meter.

37.1 m3
71.9 m3
116.5 m3
130.8 m3

answer is c, because no one has answered

Answer 1

c) 116.5 m^3

Explanation:

Answer 2

Option: C is the correct answer.

The volume of grain silo is:

116.5 m^3

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:

`V=\pi r^2h`

and Volume of hemisphere is calculated as:

`V'=(2)/(3) \pi r^3`

Hence, volume of grain silo is:

`\pi r^2h+(2)/(3)\pi r^3\\\\\\=\pi r^2(h+(2)/(3)r)\\\\=3.14* (2.2)^2(6.2+(2)/(3)* 2.2)\\\\=15.1976(6.2+1.466)\\\\=116.5m^3`

Hence, the volume of the grain silo to the nearest tenth of cubic meter is:

116.5 m^3