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 = %0D%0A %0D%0A1%0D%0A3%0D%0Aπ%0D%0A𝑟%0D%0A2%0D%0Ah)%0D%0AResponses%0D%0A%0D%0A%0D%0AA%092 ft2 ft%0D%0A%0D%0A%0D%0AB%093 ft3 ft%0D%0A%0D%0A%0D%0AC%094 ft4 ft%0D%0A%0D%0A%0D%0AD%096 ft

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago

The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius and h is the height.

Given V = 18π cubic feet and h = 6 ft, we can plug in these values into the formula:

18π = (1/3)πr^2 * 6

Simplify the equation:

18 = 2r^2

r^2 = 9

r = 3 ft

Therefore, the radius of the cone is 3 ft.

The correct answer is B) 3 ft.