Get detailed and reliable answers to your questions with IDNLearn.com. Our Q&A platform offers reliable and thorough answers to ensure you have the information you need to succeed in any situation.

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

brainly.com/question/1778223

#SPJ4

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.