A 168 cm tall barrell has a circumfrance of 69.08 cm. what is the volume of the barrell using the formula for the volume of the cylinder as an estimate? round to the nearest hundreth of a cubic centimeter. use 3.14 for the value of rr. note v =rr^2h.'
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2016-04-28 5:05 pm
回答 (2)
2016-04-28 5:33 pm
The formula for volume of a cylinder is:
V = π r² h
You are given the height, but not the radius.
However, you are given the circumference. Remember the formula for circumference is:
C = 2π r
Solving that in terms of r:
r = C / (2π)
r = 69.08 / (2π)
r ≈ 11 cm
Now you plug everything into the volume formula and get the answer.
V = π r² h
V = π (11²) 168
V = π (121)(168)
Your answer will depend on the value of pi used in your estimate. They suggest using 3.14 but you really then shouldn't expect to round it to the nearest hundredth cubic cm. You aren't using enough significant digits to justify keeping the answer with that precision.
In any case, I leave this last step to you.
V = π r² h
You are given the height, but not the radius.
However, you are given the circumference. Remember the formula for circumference is:
C = 2π r
Solving that in terms of r:
r = C / (2π)
r = 69.08 / (2π)
r ≈ 11 cm
Now you plug everything into the volume formula and get the answer.
V = π r² h
V = π (11²) 168
V = π (121)(168)
Your answer will depend on the value of pi used in your estimate. They suggest using 3.14 but you really then shouldn't expect to round it to the nearest hundredth cubic cm. You aren't using enough significant digits to justify keeping the answer with that precision.
In any case, I leave this last step to you.
2016-04-28 5:41 pm
C = 2 pi r
Hence
r = C / 2 pi
r = 69.08 / ( 2 x 3.14)
r = 69.08 / 6.28
r = 10.9944... cm (THe radius).
The volume V = pi r^2 h
V = 3.14 X 10.9944...m ^2 X 168 cm^3
V = 63797.560950806256523546211581702 cm^3
V = 63797.56... cm^3
V = 63797.56 cm^3 ( 2 d.p.)
V = 63.79756 litres (dm^3)
Hence
r = C / 2 pi
r = 69.08 / ( 2 x 3.14)
r = 69.08 / 6.28
r = 10.9944... cm (THe radius).
The volume V = pi r^2 h
V = 3.14 X 10.9944...m ^2 X 168 cm^3
V = 63797.560950806256523546211581702 cm^3
V = 63797.56... cm^3
V = 63797.56 cm^3 ( 2 d.p.)
V = 63.79756 litres (dm^3)
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