Answer: The radius of the cone is 8.99in or 9.00in
Explanation:
Step 1: The equation of the volume of the cone is V = (1/3) πr^2h
If the height and radius is equal, we can say that r=h.
Substitute the value of h in the equation
The volume of a cone = (1/3) πr^2h
The volume of a cone = (1/3) πr^2(r)
The volume of a cone = (1/3) πr^3
Step 2: Substitute the value of the volume and solve for r
763. 02 cu. in. = (1/3) πr^3
3(763. 02 cu. in) = πr^3
3(763. 02 cu. in)/π = r^3
∛(3(763. 02 cu. in)/π) = ∛(r^3)
r = 8.99in or 9.00in
The radius of the cone is 8.99in or 9.00in