leslier73 leslier73
  • 24-08-2018
  • Mathematics
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An ice cream cone has a volume of 120cm3. The radius of the cone is 3cm. What is the height of the cone?

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Supernova
Supernova Supernova
  • 24-08-2018

Volume of a cone: 1/3[tex] \pi [/tex]r²h

Plug in 3 for r and 120 for the volume.

1/3[tex] \pi [/tex]3²h = 120

Multiply both sides by 3.

[tex] \pi [/tex]3²h = 360

Divide both sides by pi.

3²h = 114.59

Divide both sides by 3² (9).

h = 12.73, or 13 (rounded to nearest cm)

The height of the cone is 13 cm.

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