V=13πr2h The volume of a cone is 500 cm3 and the height is approximately 13.5 cm, what is the approximate radius of the cone? (1 point) Responses 15 cm 15 cm 19 cm 19 cm 6 cm 6 cm 2 cm

Answer 1

To find the radius of the cone, we first need to rearrange the formula for the volume of a cone:

V = 1/3 * π * r^2 * h

Since we are given that the volume is 500 cm^3 and the height is approximately 13.5 cm, we can substitute those values into the formula:

500 = 1/3 * π * r^2 * 13.5

Now we can solve for r by isolating it in the equation:

r^2 = 500 / (1/3 * π * 13.5)
r^2 = 500 / (π * 4.5)
r^2 ≈ 35.211

Taking the square root of both sides gives us:

r ≈ √35.211
r ≈ 5.93 cm

Therefore, the approximate radius of the cone is 6 cm.