Question

A tree has a circumference of 16 ft. Calculate the volume of wood it contains if the tree is 10ft tall. Round your answer to the nearest whole number.

a0 cubic feet

Answer 1

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 2

Volume of the tree is 4.8 feet³.

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

`r=(16)/(2\pi)`

`r=(8)/(\pi)`

Volume of the tree = Volume of the cylinder

Volume of the tree =
`2\pi r^2h=2\pi((8)/(\pi))^210=2*(64)/(\pi)*10=(1280)/(3.14)=407.64\:feet^3`

Therefore, Volume of the tree is 4.8 feet³.