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Difficulty:
35%
(medium)
Question Stats:
78%
(01:46)
correct 22%
(01:09)
wrong
based on 18
sessions
History
Date
Time
Result
Not Attempted Yet
When a rectangular label, 21.5cm long, is wrapped around the curved surface of a solid circular cylinder with its shorter ends overlapping, it exactly cover the curved surface. what is the volume of cylinder in cubic centimeter, if the thickness of label is ignored?
(1) The label overlap is 0.5cm (2) The width of the label is 7.5cm
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When a rectangular label, 21.5cm long, is wrapped around the curved surface of a solid circular cylinder with its shorter ends overlapping, it exactly cover the curved surface. what is the volume of cylinder in cubic centimeter, if the thickness of label is ignored?
(1) The label overlap is \(0.5\) cm (2) The width of the label is 7.5cm
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1) Statement tell us that overlap equal to \(0.5\). So we can infer that circumference of cylinder equl to \(21.5 - 0.5 = 21 cm\).
\(2piR=21\) \(R=\frac{10.5}{pi}\) We have radius but for finding volume we need to know height of cylinder. Insufficient
2) We have height of cylinder but don't know radius. Insufficient
1+2) We know radius \(R=\frac{10.5}{pi}\) and we know heght \(7.5cm\) \(Volume = piR^2h\)
\(Volume = \frac{10.5*7.5}{pi}\)
Sufficient
Answer is C
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.