86.1k views
4 votes
A cone has a volume of 8(3.14) cubic feet and a height of 6 feet. what is the radius of the base?

User Pwdst
by
8.1k points

1 Answer

3 votes
Volume of a Cone = (1/3)*(pi)*(radius)*(radius)*(height)
we are given:
pi = 3.14
height = 6
Volume = 8(3.14)

plug in
8(3.14) = (1/3)*(3.14)*(radius)^2 *(6)
8 = (1/3)*(6)*(radius)^2 [divided both sides by 3.14]
8 = (2)*(radius)^2 [simplified (1/3)*(6)]
4 = (radius)^2 [divided 2 from both sides]
radius = 2 [square rooted both sides (sqrt(4))=2]

therefore the radius = 2 ft
User Drunkenfist
by
8.0k points