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88% (01:17) correct
12%
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A container manufactured for the transport of liquids is a right circular cylinder. If it has a diameter of 40 inches, what is its volume?
(1) The surface area of the container, excluding the top and the bottom, is \(1200\pi\) square inches.
(2) The entire surface area of the container is \(2000\pi\) square inches.
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(1) The surface area of the container, excluding the top and the bottom, is \(1200\pi\) square inches.
(2) The entire surface area of the container is \(2000\pi\) square inches.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
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Bunuel
Volume of a right circular cylinder = π*r^2*h. We already have radius r = diameter/2 = 20 inches. We need height h to find the volume.
(1) Excluding the top and bottom bases, area (or curved surface area as its called) = 2πrh = 1200π, given. We can solve this to get h, and thus can find the volume. Sufficient.
(2) Entire surface area = Area of curved surface + Area of two circular bases = 2πrh + 2πr^2 = 2πr(h+r) = 2000π, given. We can solve this too to get h, and can thus find the volume. Sufficient.
Hence D answer
Bunuel
Question: Volume of the Cylinder = ?
Volume of the Cylinder = \(π*r^2*h\)
We know, Diameter, 2r = 40
We need, Height (h) of the cylinder to answer the question.
Statement 1: Curved Surface Area = 2πrh = 1200
Since we have the radius so we can calculate the height hence
SUFFICIENT
Statement 2: Total Surface Area = 2πrh + 2πr^2 = 2000
Since we have the radius so we can calculate the height hence
SUFFICIENT
Answer: option D
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