Problema Solution

What is the approximate volume of a tree trunk if the trunk is 15 feet tall with a circumference of 4.5 feet?

Answer provided by our tutors

we will consider that the tree trunk is a cylinder with height h = 15 ft and circumference C = 4.5 feet


the circumference C = 2*r*pi, where r is the radius of the base thus we have


2*r*pi = 4.5 divide both sides by 2*pi


r = 4.5/(2*pi)


the volume of the cylinder is V = r^2*pi*h


V = (4.5/(2*pi))^2*pi*h


V = (20.25/(4*pi))*15


V = 75.9375 pi ft^3


pi = 3.14


V = 238.44375 ft^3


the approximate volume of the tree trunk is 238.44375 ft^3.