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VikaD [51]
3 years ago
7

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 cyl

inder as an estimate. round to the nearest hundredth of a cubic centimeter
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
5 0

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

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