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

Answer:

$V=63,829.92\ cm^3$

Step-by-step 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

$\pi =3.14$

$V=(3.14)(11)^{2}(168)$

$V=63,829.92\ cm^3$