find the volume of a right circular cone that has a height of 12.5 Centimeters in a base with a circumference of 5.8 Centimeters round your answer to the nearest 10th of a cubic centimeter
To find the volume of a cone, we can use the formula:
V = (1/3) * π * r^2 * h
First, we need to find the radius of the base of the cone using the circumference:
Circumference = 2πr
5.8 = 2πr
r = 5.8 / (2π) ≈ 0.924
Now we can plug in the values into the formula:
V = (1/3) * π * (0.924)^2 * 12.5
V ≈ (1/3) * π * 0.853 * 12.5
V ≈ 3.5 cm^3
Therefore, the volume of the cone is approximately 3.5 cubic centimeters.