Question

explain volume of cylinder eith figures

Answer 1

A cylinder is 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.



The volume of a

3

3

-dimensional solid is the amount of space it occupies.  Volume is measured in cubic units (

in

3

,

ft

3

,

cm

3

,

m

3

in3,ft3,cm3,m3

, et cetera).  Be sure that all of the measurements are in the same unit before computing the volume.

The volume

V

V

of a cylinder with radius

r

r

is the area of the base

B

B

times the height

h

h

.

V=Bh  or  V=π

r

2

h

V=Bh  or  V=πr2h

Example:

Find the volume of the cylinder shown. Round to the neatest cubic centimeter.



Solution

The formula for the volume of a cylinder is

V=Bh  or  V=π

r

2

h

V=Bh  or  V=πr2h

.

The radius of the cylinder is

8

8

cm and the height is

15

15

cm.

Substitute

8

8

for

r

r

and

15

15

for

h

h

in the formula

V=π

r

2

h

V=πr2h

.

V=π

(8)

2

(15)

V=π(8)2(15)

Simplify.

V=π(64)(15)

≈3016

V=π(64)(15)≈3016

Therefore, the volume of the cylinder is about

3016

3016

cubic centim