Question
if the height of the cone is 5 cm and the volume is 500 cm^3, what is the radius of the cone?
Answers
GPT 3.5
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
Given that the height is 5 cm and the volume is 500 cm^3, we can plug in these values into the formula:
500 = (1/3)πr^2(5)
500 = (5/3)πr^2
r^2 = 500 * 3 / (5 * π)
r^2 ≈ 60.32
r ≈ √60.32
r ≈ 7.77 cm
Therefore, the radius of the cone is approximately 7.77 cm.
Given that the height is 5 cm and the volume is 500 cm^3, we can plug in these values into the formula:
500 = (1/3)πr^2(5)
500 = (5/3)πr^2
r^2 = 500 * 3 / (5 * π)
r^2 ≈ 60.32
r ≈ √60.32
r ≈ 7.77 cm
Therefore, the radius of the cone is approximately 7.77 cm.