Middle School

A grain silo is composed of a cylinder and a hemisphere.
The diameter is 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 [tex]$\pi$[/tex] and round the answer to the nearest tenth of a cubic meter.

A. 37.1 m³
B. 71.9 m³
C. 116.5 m³
D. 130.8 m³

Answer :

Answer:

C.

Step-by-step explanation:

[tex]116.5^{3}[/tex]

The approximate total volume of the silo is 116.9 m^3, the correct option is C. 116.5 m^3.

What is the volume of a right circular cylinder?

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

Right circular cylinder is the cylinder in which the line joining center of top circle of the cylinder to the center of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

We are given that;

Diameter=4.4m

Height=6.2meter

Now,

The radius of the silo is half of its diameter, which is 4.4/2 = 2.2 meters. So, plugging in the given values and using 3.14 for π, we get:

V = πr^2h + (2/3)πr^3

V = 3.14(2.2^2)(6.2) + (2/3)3.14(2.2^3)

V = 94.25 + 22.64

V = 116.89

Therefore, the volume of silo will be 116.5 m^3.

Learn more about volume of cylinder here:

https://brainly.com/question/12763699

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