What is the volume of a right circular cone that has a height of 14.9 cm and a base with the circumference of 2.9 cm rounded to the nearest 10th of a cubic centimeter

The answer to your question is Volume = 3.30 cm³

Step-by-step explanation:

Data

Volume = ?

height = 14.9 cm

circumference = 2.9 cm

Process

1. - Calculate the radius

circumference = 2πr

-Substitution

2.9 = 2πr

-Solve for r

r = 2.9/2π

r = 1.45/π cm

2) Calculate the volume of the cone

Volume = 1/3πr²h

-Substitution

Volume = 1/3π (1.45/π) ² (14.9)

-Simplify

Volume = (1.04) (0.213) (14.9)

Volume = 3.30 cm³