Find the volume of a cylinder radius 2 and height 8?

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middleschool-teacher's profile pic

middleschool-teacher | Middle School Teacher | (Level 1) Adjunct Educator

Posted on

The formula for volume of a cylinder is the following:  

V=(3.14)r^2*h
 
(3.14) or pi is multiplied by the square of the radius times the height.  In this sense we are multiplying the area of the circle with the height of the cylinder.  In this case the math work would be as follows
 
v=(3.14)(2*2)8
 
v=100.48
sciftw's profile pic

sciftw | High School Teacher | (Level 1) Educator Emeritus

Posted on

In order to find the volume of a cylinder you need to know either the radius of the cylinder or the diameter.  You gave the radius, but if you had the diameter, you could reduce that number by half to get the radius.  

The formula for finding the volume of a cylinder is:

`v =pir^2xxh`

You can use the "pie" button on your calculator or us the standard 3.14.  "r" is the radius squared and "h" is the height.  

v = 3.14(2^2)8

v = 3.14 x 4 x 8 

v = 100.48

The only problem that I see with that answer is that it is unitless. The problem did not specify if the radius and height were in cm, m, inches, or feet.  It's possible that your cylinder is 100.48 cubic cm or 100.48 cubic meters.  The number of the answer is the same, but the difference in volumes would be enormous.  

shehan21's profile pic

shehan21 | eNotes Newbie

Posted on


to find the volume of the cylinder you have to multiply `pi`^2 with the height

so multiply 3.142 with 2^2 and the answer you have to multiply by the height 8

so the answer would be 100.544 

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