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A square based prism and a cylinder both have the same height of 4cm and the same base area. If the volume of the square based prism is 452cm cubed based on the concepts of Cavalieri's principle, what is the approximate circumference of the base of the cylinder?

Respuesta :

The approximate circumference of the base of the cylinder is 37.7 cm

How to find circumference of a cylinder?

The square based prism and a cylinder both have the same height of 4cm and the same base area.

volume = BH

where

  • B = base area
  • H = height

Therefore,

volume of squared base prism = 452

452 = 4B

B = 452 / 4

B = 113

Therefore,

base area of the cylinder = 113 = πr²

Hence,

113 / π = r²

r = √113 / π

circumference of the base of the cylinder = 2πr

circumference of the base of the cylinder = 2 × π × √113 / π

circumference of the base of the cylinder = 2 × 3.14 × 5.99891656885

circumference of the base of the cylinder = 37.6731960524

circumference of the base of the cylinder = 37.7 cm

learn more on circumference here: brainly.com/question/12073337

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