A cylinder is a solid written of 2 congruent one in parallel planes, your interiors, and all the line segments parallel come the segment containing the centers that both circles through endpoints on the circular regions.

The volume that a 3 -dimensional heavy is the lot of room it occupies. Volume is measured in cubic systems ( in 3 , ft 3 , cm 3 , m 3 , et cetera). Be sure that every one of the dimensions are in the same unit prior to computing the volume.

The volume V that a cylinder with radius r is the area the the basic B times the height h .

V = B h     or     V = π r 2 h

You are watching: What is the volume of a right circular cylinder with a radius of 3 in. and a height of 10 in.?

Example:

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

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

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

substitute 8 for r and also 15 because that 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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