Respuesta :
Given the circumference formula for a circle, one can easily find the value of the ray 16:(2×3.14)
Knowing that and using the formula for the volume of a circle V= A×h where A is the surface and h the hight, one would be anxious to find out wether
V=3.14×(2.55)^2×10 could be expressed by 204
Answer:
Volume of the tree is 4.8 feet³.
Step-by-step explanation:
Given: Circumference of tree = 16 ft
Height of the tree, h = 10 ft
To find: Volume of the tree in cubic feet.
let r be the radius.
Circumference of tree = Circumference of the circle
2πr = 16
[tex]r=\frac{16}{2\pi}[/tex]
[tex]r=\frac{8}{\pi}[/tex]
Volume of the tree = Volume of the cylinder
Volume of the tree = [tex]2\pi r^2h=2\pi(\frac{8}{\pi})^210=2\times\frac{64}{\pi}\times10=\frac{1280}{3.14}=407.64\:feet^3[/tex]
Therefore, Volume of the tree is 4.8 feet³.
