Respuesta :

apologiabiology
v=(1/3)hπr^2 where h=height and r=radius
given
radius=3
height=2a

r=3
h=2a

v=(1/3)hπr^2
v=(1/3)(2a)π(3)^2
v=(1/3)2aπ9
v=6aπ


so the expression would be some variaant of v=6aπ
nuhulawal20

The expression that represents the volume of the cone is 6aπ.

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

Given the data in the question;

  • Radius r = 3
  • Height h = 2a
  • Volume of the cone V = ?

We substitute our given values into the expression above.

V = (1/3)πr²h

V = (1/3) × π × (3)² × 2a

V = (1/3) × π × 9 × 2a

V = 18aπ / 3

V = 6aπ

Therefore, the expression that represents the volume of the cone is 6aπ.

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

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