What is the approximate volume of a tree trunk if the trunk is 12 feet tall with a circumference of 4.5 feet? a. 29.40 ft3 b. 21.17 ft3 c. 19.54 ft3 d. 25.92 ft3

Option C is correct

Step-by-step explanation:

Assume that the truck is in cylindrical shape with uniform circumference.

Circumference(C) of the trunk is given by:

                   .....[1]

where, r is the radius of the trunk.

Volume of the cylinder(V) is given by:

                 .....[2]

where, r is the radius and h is the height of the tree trunk.

As per the statement:

If the trunk is 12 feet tall with a circumference of 4.5 feet

⇒ h = 12 feet and C = 4.5 feet

From equation [1], we have;

Divide both sides by

Substitute in [2] we have;

Use

⇒

Simplify:

Therefore, the approximate volume of a tree trunk is,

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation