Respuesta :

fussellk
V = [tex] \pi [/tex]r^2h/3

V = 3.14 x 4^2 x 6/3       (remember r is 1/2 of the diameter)
V = 3.14 x 16 x 2
V = 100.5
nuhulawal20

The volume of the cone with the given base and height is 100.5units³.

Cone

A cone is simply a 3-dimensional solid geometric shape having a circular base and a pointed edge, it has a single face and a vertex.

The volume of a cone is expressed as;

V = (1/3)πr²h

Where r is the radius, h is height and π is pie ( π = 3.14159 )

Given the data in the question;

  • Diameter of the base d = 8units
  • Radius r = d/2 = 8units/2 = 4units
  • Height h = 6units
  • Volume of the cone V = ?

We substitute our given values into the expression above.

V = (1/3)πr²h

V = (1/3) × π × (4units)² × 6units

V = (1/3) × π × 16units² × 6units

V = 100.5units³

Therefore, the volume of the cone with the given base and height is 100.5units³.

Learn more about volume of cone here: brainly.com/question/23863102

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