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30 Aug 2016, 05:13
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
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Question Stats:
59% (01:39) correct
41%
(01:21)
wrong
based on 132
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A truck driver wants to load as many identical cylindrical canisters of olive oil as can fit into the 3-meter × 4-meter × 9-meter storage space of his truck. How many canisters can he load into the truck?
(1) Each canister has a volume of 62, 500π cubic centimeters.
(2) The height of each canister is four times the radius.
(1) Each canister has a volume of 62, 500π cubic centimeters.
(2) The height of each canister is four times the radius.
Senthil1981
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30 Aug 2016, 07:42
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Bunuel
1 m = 100 cm
\(1 m^3 = 10^6 cm^3\)
We need to know what's the \(r\) and \(h\) to find whether how many canisters can be loaded
Consider 1) Volume of cylinder = \(\pi * r^2 * h\), there can be multiple values of \(r\) and \(h\) for the given volume. Eliminate A and D
Consider 2) \(h = 4r\), Not sufficient, since multiple values can exist, Eliminate B
Consider 1) and 2) together, \(\pi * r^2 * 4 *4 = 62,500\pi\), this solves for \(r\) and hence \(h\). So C is the answer.
30 Aug 2016, 20:08
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Bunuel
Question : many canisters can he load into the truck?
Note: To find the number of cannisters we require
1) Dimensions of Cylinder i.e. Radius and Height of cylindrical canister
2) Dimensions of Truck
Statement 1: Each canister has a volume of 62, 500π cubic centimeters
Dimensions of cylinder are unknown hence
NOT SUFFICIENT
Statement 2: The height of each canister is four times the radius
Ratio between dimensions of cylinder is given but Dimensions of cylinder in actual are unknown hence
NOT SUFFICIENT
Combining the two statements
h = 4r
Volume = π*r^2*h = π*r^2*(4r) = 62, 500π
this gives us radius and also the height
Now we can divide each dimension of base of truck with radius of cylinder to find the number of cylinders than can be rest on base of truck.
SUFFICIENT
Answer: Option C
