Geometry GRE Strategy Guide by Manhattan Prep

Author:Manhattan Prep
Language: eng
Format: epub
Publisher: MG Prep, Inc.

The only information you need to find the surface area of a cylinder is 1) the radius of the cylinder, and 2) the height of the cylinder.

Cylinders and Volume

The volume of a cylinder measures how much “stuff” it can hold inside. In order to find the volume of a cylinder, use the following formula, where V is the volume, r is the radius of the cylinder, and h is the height of the cylinder:

V = πr2h

As with finding the surface area, determining the volume of a cylinder requires two pieces of information: 1) the radius of the cylinder, and 2) the height of the cylinder.

One way to remember this formula is to think of a cylinder as a stack of circles, each with an area of πr2. Just multiply πr2 × the height (h) of the shape to find the area.

The figures below show that two cylinders can have the same volume but different shapes (and, therefore, each would fit differently inside a larger object):

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