Radius = 9 inches
Formula for volume of a cone:
V=1/3hπr²
Since radius and height are the same, we can put this into out formula
(this is just changing r squared into r cubed since its being multiplied by itself.)
New formula = V =1/3πr³
763.02 = 1/3(πr³)
Times the volume by 3 because we divided it by 3 when finding the volume
2,289.06 = πr³
Divide both sides by pi (3.14)
2,289.06 ÷ 3.14
729 = r³
r = ∛729
r = 9 (inches)