sanchezjocelyn8 sanchezjocelyn8
  • 19-04-2018
  • Mathematics
contestada

find the height of a cone with a volume of 942 cubic units and a radius of 10 units

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Supernova
Supernova Supernova
  • 19-04-2018
Volume of a cone: [tex] \frac{1}{3} [/tex][tex] \pi [/tex]r²h
Plug the radius and volume in the formula.

[tex] \frac{1}{3} [/tex][tex] \pi [/tex]10²h = 942
Divide both sides by [tex] \frac{1}{3} [/tex].

[tex] \pi [/tex]10²h = 2,826
Divide both sides by pi.

10²h = 900
Divide both sides by 10² (100).

h = 9

The cone's height is 9 units.
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