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

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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?

Jun 6, 2017

#1
+7347
+1

We can find the radius using the circumference.

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

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

Jun 6, 2017
edited by hectictar  Jun 6, 2017

#1
+7347
+1

We can find the radius using the circumference.

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

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