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A container manufactured for the transport of liquids is a right circu

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New post 01 Feb 2018, 00:25
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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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Re: A container manufactured for the transport of liquids is a right circu  [#permalink]

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New post 01 Feb 2018, 01:12
Bunuel wrote:
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.


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
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Re: A container manufactured for the transport of liquids is a right circu  [#permalink]

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New post 01 Feb 2018, 04:26
Bunuel wrote:
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.


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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Re: A container manufactured for the transport of liquids is a right circu   [#permalink] 01 Feb 2018, 04:26
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