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V= 1/3πr2h
The volume of a cone is
and the height is approximately 13.5 cm, what is the approximate radius of the cone 7
(1 point)
6 cm
19 cm
2 cm
15 cm
Given the formula for the volume of a cone, V = 1/3πr^2h, and the height of the cone being approximately 13.5 cm, we can rearrange the formula to solve for the radius, r.
1/3πr^2(13.5) = V
r^2 = 3V / (π * 13.5)
r^2 = V / (4.5π)
r = √(V / (4.5π))
Since we are given the volume of the cone, we can substitute the value into the formula to find the approximate radius.
r = √(V / (4.5π))
r = √(V / (4.5 * 3.14))
r ≈ √(7 / (4.5 * 3.14))
r ≈ √(7 / 14.13)
r ≈ √0.495 = 0.703 ∼ 0.7
Therefore, the approximate radius of the cone is 0.7 cm.