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D
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Difficulty:
15%
(low)
Question Stats:
91% (01:19) correct
9%
(01:25)
wrong
based on 32
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There are two right circular cylinders A and B. The height and the diameter of cylinder B are each twice those of cylinder A. If the capacity of cylinder A is 10 barrels, what is the capacity of cylinder B, in barrels?
(A) 36
(B) 40
(C) 60
(D) 80
(E) 100
(A) 36
(B) 40
(C) 60
(D) 80
(E) 100
16 Apr 2021, 09:00
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Bunuel
For cylinder A : Radius r and height h
For B it is 2r and 2h
Ratio of (A to B)area = pi r^2h / pi (2r)^2 * 2h = 10/x
then, pi r^2 *h / pi 4r^2 *2h =10/x
1/8=10/x , therefore, x=80
area of cylinder B is 80 barrels
Option D is the answer
16 Apr 2021, 09:32
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Given: There are two right circular cylinders A and B. The height and the diameter of cylinder B are each twice those of cylinder A.
Asked: If the capacity of cylinder A is 10 barrels, what is the capacity of cylinder B, in barrels?
Cylinder A: -
Height = h
Diameter = d
Capacity (volume) = \(\pi d^2h/4 = 10\)
Cylinder B: -
Height = 2h
Diameter = 2d
Capacity (volume) = \(\pi (2d)^2(2h)/4 = 8*10 = 80\)
IMO D
Asked: If the capacity of cylinder A is 10 barrels, what is the capacity of cylinder B, in barrels?
Cylinder A: -
Height = h
Diameter = d
Capacity (volume) = \(\pi d^2h/4 = 10\)
Cylinder B: -
Height = 2h
Diameter = 2d
Capacity (volume) = \(\pi (2d)^2(2h)/4 = 8*10 = 80\)
IMO D
