Question

Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tree is cone shaped and has a radius of 4 feet. Find the volume of the tree if it is in the shape of a cone and its height is three times its radius. The radius of a cone whose height is is equal to three times its radius is given as: r=root(frac(3V,3π),3) (Use π=3.14)

Answer 1

Volume = 200.96 cubic feet

Explanation:

Volume of a cone is given by the formula
`V=(1)/(3)\pi r^2 h`

Where r is the radius and h is the height

Given r = 4 and height is 3 times that. So height is 4*3 = 12

Plugging these into the formula we get:

Volume of Cone =
`(1)/(3)\pi (4)^2 (12)\\=(1)/(3)(3.14)(16)(12)\\=200.96`

Thus, Volume = 200.96 cubic feet