A cylinder is a solid created of two congruent circles in parallel planes, their interiors, and all the heat segments parallel to the segment include the centers of both circles through endpoints ~ above the one regions.

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The volume of a 3 -dimensional heavy is the lot of room it occupies. Volume is measure in cubic systems ( in 3 , ft 3 , cm 3 , m 3 , et cetera). Be certain that all of the dimensions are in the exact same unit before computing the volume.

The volume V the a cylinder through radius r is the area of the basic B time the elevation h .

V = B h     or     V = π r 2 h




You are watching: Volume formula for a right circular cylinder

Example:

discover the volume the the cylinder shown. Round to the neatest cubic centimeter.

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equipment The formula because that the volume that a cylinder is V = B h     or     V = π r 2 h .

The radius that the cylinder is 8 cm and the height is 15 cm.

instead of 8 because that r and 15 for h in the formula V = π r 2 h .

V = π ( 8 ) 2 ( 15 )

Simplify.

V = π ( 64 ) ( 15 ) ≈ 3016

Therefore, the volume of the cylinder is about 3016 cubic centimeters.


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