Answer:
Volume of cone = 200.96 square feet
Step-by-step explanation:
We are given the following information in the question:
The tree is cone shaped and has a radius of 4 feet.
r = 4 feet
The height of the tree is three times its radius.
[tex]h = 3\times r = 3\times 4 = 12\text{ feet}[/tex]
Volume of tree =
[tex]\text{Volume of cone} = \displaystyle\frac{1}{3}\pi r^2 h[/tex]
Putting all the values, we get,
[tex]\text{Volume of tree} = \displaystyle\frac{1}{3}\pi (4)^2 (12)\\\\= \frac{1}{3}\times 3.14\times 4\times 4\times 12 = 200.96\text{ square feet}[/tex]
Radius of cone whose height is is equal to three times its radius is given as:
[tex]V = \displaystyle\frac{1}{3}\pi r^2 h\\\\V = \displaystyle\frac{1}{3}\pi r^2 (3r)\\\\3V = 3\pi r^3\\\\ r = \sqrt[3]{\frac{3V}{3\pi}}[/tex]
