Question
What is the radius of the cone below whose volume is 314 with a height of 12
Answers
GPT 3.5
To find the radius of the cone, we can use the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
Where:
V = volume of the cone
r = radius of the cone
h = height of the cone
Given:
V = 314
h = 12
Substitute the given values into the formula:
314 = (1/3) * π * r^2 * 12
Divide both sides by 12π:
314 / (12π) = r^2
r^2 = 26.26
Take the square root of both sides to find the radius:
r = √26.26
r ≈ 5.12
Therefore, the radius of the cone is approximately 5.12.
V = (1/3) * π * r^2 * h
Where:
V = volume of the cone
r = radius of the cone
h = height of the cone
Given:
V = 314
h = 12
Substitute the given values into the formula:
314 = (1/3) * π * r^2 * 12
Divide both sides by 12π:
314 / (12π) = r^2
r^2 = 26.26
Take the square root of both sides to find the radius:
r = √26.26
r ≈ 5.12
Therefore, the radius of the cone is approximately 5.12.