Question

a 168 cm tall barrel has a circumference of 69.08 cm. what is the volume of the barrel using the formula for the volume of a cylinder as an estimate. round to the nearest hundredth of a cubic centimeter

Answer 1

`V=63,829.92\ cm^3`

Explanation:

step 1

Find the radius of the circle

we know that

The circumference is equal to

`C=2\pi r`

we have

`C=69.08\ cm`

assume

`\pi =3.14`

substitute

`69.08=2(3.14)r`

solve for r

`69.08=6.28r`

`r=69.08/6.28`

`r=11\ cm`

step 2

Find the volume of the cylinder

we know that

The volume of the cylinder is equal to

`V=\pi r^(2)h`

we have

`h=168\ cm`

`r=11\ cm`

assume

`\pi =3.14`

`V=(3.14)(11)^(2)(168)`

`V=63,829.92\ cm^3`