Question

if the height of a cone is 5cm and the volume is 500cm^3, what is the radius of the cone

Answer 1

[AI-generated answer — Bot 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.