Which solid has greater volume?

Question

• A Cylinder with the diameter of 8 and height of 8 
• A Cube with length,width, and height all at 8

Answer 1

Hello, Zoo,

 

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|| h=8  Let this picture or model represent a cylinder.    v=πr²h.  v= π( 4  )² * 8       Use substitution.

∅  d=8               If d=8, then r=(1/2)d=4    Change pi to 3.14 or 22/7

 

 ____

⁄___⁄|   Note:  All sides of a cube are equal.  L=8,  w=8, and h=8    V=L*W*H   Use substitution.

|__|⁄                                                                Multiply all dimensions together.

               

Finally, just find the volume for each and compare which has the greater volume.

I hope that this example helps.  Susan C.