contestada

An ash borer is an invasive pest whose larvae eat the pulp of ash trees as they mature. A park ranger has a tree that is infested with ash borers. She estimates they have eaten approximately 40% of the tree's pulp. If the ash tree's trunk has a radius of 2 feet and a height of 15 feet, what was the total volume of the tree trunk before the ash borers started eating it?

Respuesta :

Answer:

[tex]188.6[/tex] cubic feet

Step-by-step explanation:

Let r, h denotes radius and height of the tree's trunk.

Radius of the tree's trunk = 2 feets

Height of the tree's trunk = 15 feets

The tree's trunk is in the shape of a cylinder.

Volume of cylinder (tree's trunk) [tex]=\pi r^2h[/tex]

Put [tex]r=2\,,\,h=15[/tex]

Volume of the tree's trunk [tex]=\pi (2)^2(15)=60\pi[/tex] cubic feet

Put [tex]\pi=\frac{22}{7}[/tex]

So,

Volume of the tree's trunk [tex]=60(\frac{22}{7})=\frac{1320}{7}=188.6[/tex] cubic feet

Otras preguntas

Q&A Education