A cone has a radius of 3 and a height given by the expression 2a. which expression represents the volume of the cone?2aπ units34

Question

2 years ago

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a2π units36aπ units324aπ units3

1 answer:

Marta_Voda [28] · Answer 1 · 2023-05-10T23:31:37+03:00

<u>The expression that represents the volume of </u><u>the cone is 6aπ.</u>

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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