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A cone has a radius of 3 and a height given by the expression 2a. which expression represents the volume of the cone?2aπ units34a2π units36aπ units324aπ units3

Sagot :

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

What is called cone?

  • A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the center of base) called the 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) × π × r² × h

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 cone

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