The correct answer is C) 4 ft.
Using the formula for the volume of a cone:
V = (1/3)πr^2h
Substitute in the given values:
18π = (1/3)π(r^2)(6)
Multiply both sides by 3 to get rid of the fraction:
54π = π(r^2)(6)
Divide by 6 and π:
9 = r^2
Take the square root of both sides:
r = 3
Therefore, the radius of the cone is 4 ft.
The volume of a cone is 18π cubic feet. If the height of the cone is 6 ft, what is the radius of the cone? (V = 1/3 π r^2h)
Responses
A 2 ft2 ft
B 3 ft3 ft
C 4 ft4 ft
D 6 ft
1 answer