rodollfoaadi34 rodollfoaadi34
  • 14-05-2019
  • Mathematics
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The height of a cylinder is equal to the diameter of the base What expression represents the volume of the cylinder, in cubic units?

The height of a cylinder is equal to the diameter of the base What expression represents the volume of the cylinder in cubic units class=

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quasarJose
quasarJose quasarJose
  • 21-05-2019

Answer: 3 units

Step-by-step explanation:

the volume of a cone C = πr²h/3

C = 18π, h =2x, r = diameter/2 = 2x/2 =x

18π = π* x²* 2x/3

divide through by π

18 = x² * 2x/3

multiply through by 3

54 = 2x³

divide through by 2

27 = x³

x =∛27 = 3

x = 3 units = radius

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