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The radius of a cone is 28 cm. The volume is given by the formula V=13(282)πh, where h is the height of the cone. Identify the function that models the cone's height as a function of its volume and use it to find the height of the cone if its volume is 5488π cm3.

Answer :

Adioabiolago

The function that models the cone's height as a function of its volume is; h = 3V/28²π.

  • The height, h of the cone if its volume is 5488π cm3 is; 21cm

Since Volume, V is given by the formula;

  • V = (1/3)×28² ×πh

How to determine a function

To determine a function that models the cone's height as a function of its volume; we must evaluate as follows;

  • h = 3V/28²π

As such, when the volume of the cone is 5488π cm3;

  • Height, h = 3× 5488π/28²π

  • Height, h = 21cm.

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