Question

14 A grain silo is shaped like a cylinder. The height of the silo is 60 feet tall, and the circumference of

the base is a 20tt feet. Which measurement is closest to the volume of the silo in cubic feet?
F 3,769.9 ft
G 75,398.2 ft
H 226,194.7 ft 3
3 18,849.6 ft

Answer 1

`Volume = 1906.14`

Explanation:

Given

`Height = 60ft`

`Circumference = 20ft`

Required

Determine the volume

First, we need to determine the radius of the base using:

`C = 2\pi r`

Substitute 20 for C

`20 = 2 * 3.14 * r`

`20 = 6.28 * r`

Solve for r

`r = 20/6.28`

`r = 3.18` -- approximated.

The volume is then calculated as thus:

`Volume = \pi r^2h`

`Volume = 3.14 * 3.18^2 * 60`

`Volume = 1906.14`

None of the given options is close to the volume of the silo