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.
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