Question
if the height of a cone is 5cm and the volume is 500cm^3, what is the radius of the cone
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)πr^2h
Given that the height (h) is 5cm and the volume (V) is 500cm^3, we can plug in these values into the formula and solve for the radius (r):
500 = (1/3)πr^2(5)
500 = (5/3)πr^2
r^2 = 500 / ((5/3)π)
r^2 = 300 / π
r = √(300 / π)
r ≈ 7.75 cm
Therefore, the radius of the cone is approximately 7.75 cm.
V = (1/3)πr^2h
Given that the height (h) is 5cm and the volume (V) is 500cm^3, we can plug in these values into the formula and solve for the radius (r):
500 = (1/3)πr^2(5)
500 = (5/3)πr^2
r^2 = 500 / ((5/3)π)
r^2 = 300 / π
r = √(300 / π)
r ≈ 7.75 cm
Therefore, the radius of the cone is approximately 7.75 cm.