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A cylinder-shaped water tank is 160 cm tall and measures 87.92 cm around.


What is the volume of the water tank?

Enter your answer as a decimal. Use 3.14 for π.

CrazyDaizy  Jun 6, 2017

Best Answer 

 #1
avatar+4155 
+1

We can find the radius using the circumference.

circumference  =  2π * radius

87.92  =    2π * radius                                        Divide both sides of this equation by 2π .

87.92 / (2π)  =  radius

43.96 / π      =  radius

 

 

volume of cylinder = ( π * radius2 )(height)         Plug in what we know to be the radius and height.

                              = ( π * (43.96/π)2 )(160)

                              = ( π * 43.962 / π2 )(160)

                              = (1932.4816/π)(160)

                              = 309,197.056/π

                              ≈ 309,197.056/(3.14)     =     98470.4  cubic cm

hectictar  Jun 6, 2017
edited by hectictar  Jun 6, 2017
Sort: 

1+0 Answers

 #1
avatar+4155 
+1
Best Answer

We can find the radius using the circumference.

circumference  =  2π * radius

87.92  =    2π * radius                                        Divide both sides of this equation by 2π .

87.92 / (2π)  =  radius

43.96 / π      =  radius

 

 

volume of cylinder = ( π * radius2 )(height)         Plug in what we know to be the radius and height.

                              = ( π * (43.96/π)2 )(160)

                              = ( π * 43.962 / π2 )(160)

                              = (1932.4816/π)(160)

                              = 309,197.056/π

                              ≈ 309,197.056/(3.14)     =     98470.4  cubic cm

hectictar  Jun 6, 2017
edited by hectictar  Jun 6, 2017

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