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26 Jan 2023, 02:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
16% (01:16) correct
84%
(01:04)
wrong
based on 43
sessions
History
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Not Attempted Yet
The surface area of cylinder A is how many times the surface area of cylinder B?
(1) The diameter of A is twice the diameter of B.
(2) The height of A is equal to the height of B.
Another challenging geometry question.
(1) The diameter of A is twice the diameter of B.
(2) The height of A is equal to the height of B.
Another challenging geometry question.
26 Jan 2023, 03:17
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The surface area of cylinder A is how many times the surface area of cylinder B?
(1) The diameter of A is twice the diameter of B.
SA of cylinder= 2πrh+2πr^2= 2πr(h+r)
SA of A:SA of B= 2π.2r (h+2r)/2πr(h+r)
Statement I is clearly insufficient.
Reject A and D.
(2) The height of A is equal to the height of B.
SA of cylinder= 2πrh+2πr^2= 2πr(h+r)
SA of A:SA of B= 2πR(h+R)/2πr(h+r)
Again, statement II is insufficient.
Combining the two statements
SA of cylinder= 2πrh+2πr^2= 2πr(h+r)
SA of A:SA of B= 2π*2r(h+2r)/2πr(h+r)= 2(h+2r)/(h+r)
Statement I and Statement II together are insufficient.
Ans is option E
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(1) The diameter of A is twice the diameter of B.
SA of cylinder= 2πrh+2πr^2= 2πr(h+r)
SA of A:SA of B= 2π.2r (h+2r)/2πr(h+r)
Statement I is clearly insufficient.
Reject A and D.
(2) The height of A is equal to the height of B.
SA of cylinder= 2πrh+2πr^2= 2πr(h+r)
SA of A:SA of B= 2πR(h+R)/2πr(h+r)
Again, statement II is insufficient.
Combining the two statements
SA of cylinder= 2πrh+2πr^2= 2πr(h+r)
SA of A:SA of B= 2π*2r(h+2r)/2πr(h+r)= 2(h+2r)/(h+r)
Statement I and Statement II together are insufficient.
Ans is option E
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26 Jan 2023, 07:11
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Area of a cylinder is the sum of the areas of all its surfaces 2 times area of the base+area of rectangle= 2*(2πr) + 2πr*h
(I) we do not know the height of neither cylinder. INSUFFICINET
(II)we know the height but not the diameter of both cylinder. INSUFFICENT
(I)y(II) since they are asking how many times is A from B we can assign a value for B radius, let's say is 2, and we know by (I) that diameter of A is twice the diameter of B so should be 4. Based on 2 we know they have the same height so lets call it 10.
so area of A = 2(2π4)+2π4*10= 16π+80π=96π
area of B =2(2π2)+2π2*10=8π+40π=48π
now a/b=96π/48π= 2
so area of A is twice the area of B
IMO C
(I) we do not know the height of neither cylinder. INSUFFICINET
(II)we know the height but not the diameter of both cylinder. INSUFFICENT
(I)y(II) since they are asking how many times is A from B we can assign a value for B radius, let's say is 2, and we know by (I) that diameter of A is twice the diameter of B so should be 4. Based on 2 we know they have the same height so lets call it 10.
so area of A = 2(2π4)+2π4*10= 16π+80π=96π
area of B =2(2π2)+2π2*10=8π+40π=48π
now a/b=96π/48π= 2
so area of A is twice the area of B
IMO C
