Answer :

The volume of the cone with a radius of 10 units and a height of 6 units is 628 cubic units

The formula for the volume of a cone is given by:

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

Where:

  • V is the volume.
  • π (pi) is 3.14
  • r is the radius of the base.
  • h is the height of the cone.

Given that the radius (r) is 10 units and the height (h) is 6 units, we can plug these values into the formula:
⇒ [tex]V = \frac{1}{3} *3.14 *10^2 * 6[/tex]
⇒[tex]V = \frac{1}{3} *3.14 *600[/tex]
⇒[tex]V = \frac{1}{3} *1884[/tex]
⇒[tex]V = 628 \ unit^3[/tex]

Therefore, the volume of the cone is 628 cubic units.