Question
What is the height of a cone that's diameter is 18 and volume is 513 pie
Answers
GPT 3.5
First, let's calculate the radius of the cone:
Radius (r) = diameter (d) / 2 = 18 / 2 = 9 units
Now, let's use the formula for the volume of a cone:
Volume = (1/3) * π * r^2 * h
Substitute the given values:
513π = (1/3) * π * 9^2 * h
513 = 243h
h = 513 / 243
h = 2.111...
Therefore, the height of the cone is approximately 2.111 units.
Radius (r) = diameter (d) / 2 = 18 / 2 = 9 units
Now, let's use the formula for the volume of a cone:
Volume = (1/3) * π * r^2 * h
Substitute the given values:
513π = (1/3) * π * 9^2 * h
513 = 243h
h = 513 / 243
h = 2.111...
Therefore, the height of the cone is approximately 2.111 units.