Volume of a Cylinder
Acylinderis a solid composed of two congruent circles in parallel planes, their interiors, and all the line segments parallel to the segment containing the centers of both circles with endpoints on the circular regions.
Thevolumeof a-dimensional solid is the amount of space it occupies. Volume is measured in cubic units (, et cetera). Be sure that all of the measurements are in the same unit before computing the volume.
The volumeof a cylinder withradius is the area of the basetimes the height.
Example:
Find the volume of the cylinder shown. Round to the neatest cubic centimeter.
Solution
The formula for the volume of a cylinder is.
The radius of the cylinder iscm and the height iscm.
Substituteforandforin the formula.
Simplify.
Therefore, the volume of the cylinder is aboutcubic centimeters.