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The volume of the resulting cone is equal to 50 [tex]m^3[/tex].

Given the following data:

  • Volume of cone = 1350 [tex]m^3[/tex].
  • Dilation factor = [tex]\frac{1}{3}[/tex].

How to calculate the volume.

Mathematically, the volume of a cone is given by this formula:

[tex]V = \frac{1}{3} \pi r^2h[/tex]

Where:

  • h is the height.
  • r is the radius.

Applying the dilation factor, we have:

[tex]V =(\frac{1}{3} )^3 \times 1350\\\\V=0.037037037 \times 1350[/tex]

V = 50 [tex]m^3[/tex].

Read more on cone here: brainly.com/question/21367171

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