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17 May 2021, 23:00
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C
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Difficulty:
75%
(hard)
Question Stats:
50% (02:25) correct
50%
(02:20)
wrong
based on 74
sessions
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A cylinder of radius R and height H is reshaped. Which of the following changes results in the cylinder of greatest volume?
A. a 20% decrease in H and a 50% increase in R.
B. a 500% increase in H and a 50% decrease in R.
C. a 300% increase in H and a 30% decrease in R.
D. a 70% decrease in H and a 100% increase in R.
E. a 100% increase in H and a 10% decrease in R.
A. a 20% decrease in H and a 50% increase in R.
B. a 500% increase in H and a 50% decrease in R.
C. a 300% increase in H and a 30% decrease in R.
D. a 70% decrease in H and a 100% increase in R.
E. a 100% increase in H and a 10% decrease in R.
17 May 2021, 23:12
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Bunuel
Volume of Cylinder \(= πr^2h\)
A. a 20% decrease in H and a 50% increase in R. i.e New Volume \(= π(1.5r)^2*0.8h = 1.8πr^2h\)
B. a 500% increase in H and a 50% decrease in R. i.e New Volume \(= π(0.5r)^2*6h = 1.5πr^2h\)
C. a 300% increase in H and a 30% decrease in R. i.e New Volume \(= π(0.7r)^2*4h = 1.96πr^2h\)
D. a 70% decrease in H and a 100% increase in R. i.e New Volume \(= π(2r)^2*0.3h = 1.2πr^2h\)
E. a 100% increase in H and a 10% decrease in R. i.e New Volume \(= π(0.9r)^2*2h = 1.62πr^2h\)
Answer: Option C
EtaCarnia
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18 May 2021, 12:54
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GMATinsight is there any other logic to do this question quickly? i followed the same steps but took 4 mins to solve.
Thanks
Thanks
