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,3Ο),3) (Use Ο=3.14)
Accepted Solution
A:
Answer:Volume = 200.96 cubic feetStep-by-step explanation:Volume of a cone is given by the formula Β [tex]V=\frac{1}{3}\pi r^2 h[/tex]Where r is the radius and h is the heightGiven r = 4 and height is 3 times that. So height is 4*3 = 12Plugging these into the formula we get:Volume of Cone = Β [tex]\frac{1}{3}\pi (4)^2 (12)\\=\frac{1}{3}(3.14)(16)(12)\\=200.96[/tex]Thus, Volume = 200.96 cubic feet