Question 1079432

 Since the end (base) of a cylinder is a circle, the area of that circle is given by the formula: area of the base {{{B=pi*r^2}}}

Multiplying by the height {{{h}}} we get volume{{{V=pi*r^2*h}}}
where:
{{{pi}}} is Pi, approximately {{{3.14}}}
{{{r}}}  is the radius of the circular end of the cylinder
{{{h}}}  height of the cylinder

The radius r of a cylinder is the radius of a base. If you are given the diameter instead, remember to halve it.

you are given:
a diameter of {{{12ft}}}, which means that radius is {{{6ft}}}
 and a height of {{{h=20ft}}}

Part A:


{{{V=pi*r^2*h}}}

{{{V=3.14*(6ft)^2*20ft}}}
{{{V=3.14*36ft^2*20ft}}}
{{{V=3.14*720ft^3}}}
{{{V=2260.8ft^3}}}

the number of cubic feet of grain that can fit into this silo is {{{2260.8ft^3}}}

Part B:
Explain how you determined your answer.

the number of cubic feet of grain equals to volume of the silo