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

6 cm 6 cm

19 cm 19 cm

2 cm 2 cm

15 cm

1 answer

The formula for the volume of a cone is V=1/3πr^2h. Given V=500 cm^3 and h=13.5 cm, we can rearrange the formula to solve for r:

500 = 1/3 * π * r^2 * 13.5
1500 = π * r^2 * 13.5
1500 = 13.5πr^2
r^2 = 1500 / (13.5π)
r^2 ≈ 29.21
r ≈ √29.21
r ≈ 5.4

Therefore, the radius of the cone is approximately 5.4 cm.
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