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  • 26-04-2019
  • Mathematics
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A cone has a diameter of 18 units and a slant height of 15 units. Find the volume of the cone.​

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Аноним Аноним
  • 26-04-2019

Formula for volume:

πr^2(h/3)

Diameter divided by 2 is the radius

18/2 = 9

radius: 9 units

Use pythagorean theorem to find height

x^2 + 9^2 = 15^2

225 - 81 = 144

x^2 = 144

x = 12

height: 12 units

Plug these number in the volume formula.

Thus, it should be looking as:

π9^2(12/3) = 1017.88

Answer:

1017.88 [tex]units^3[/tex]

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