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A grain silo is shown in the picture attached below.

What is the volume of grain that could completely fill this silo, rounded to the nearest whole number? Use 22 over 7 for pi.

A grain silo is shown in the picture attached below. What is the volume of grain that-example-1

1 Answer

3 votes

Answer:

The answer to your question is Volume = 14012 ft³

Explanation:

Data

radius = 5 ft

height = 175 ft

Volume = ?

π = 22/7

Process

1.- Calculate the area of the cylinder

Volume = πr²h

-Substitution

Volume = (22/7)(5)²(175)

-Simplification

Volume = 13750 ft³

2.- Calculate the volume of a semi-sphere.

Volume = (4/3)πr³

-Substitution

Volume = (4/3)(22/7)(5)³

-Simplification

Volume = 523.8 ft³

Volume / 2 = 261.9 ft³

3.- Total volume

Volume t = 13750 + 261.9

= 14011.9 ≈ 14012 ft³

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