Problem $3.$ A $20$ ft long wooden log $($maple wood$)$ is placed on the surface of a freshwaterProblem $3.$ A $20ft$ long wooden log $($maple wood$)$ is placed on the surface of a freshwater

lake. Given that maple has density ${}_{\text{m}\text{a}\text{p}\text{l}\text{e}}=43l\frac{b}{f}{t}^3$ and the diameter of the $log$ is $D=9ft,$

find the depth $h$ to which the wooden $log$ will sink to$.$ Hint: You may idealize the cross

section of the wooden log to be a perfect circle.

Figure $3$: A floating wooden $log$ made of maple.

lake. Given that maple has density $\backslash$rho maple $=43$ lb$/$ft$3$ and the diameter of the log is D $=9$ ft$,$

find the depth h to which the wooden log will sink to$.$ Hint: You may idealize the cross

section of the wooden log to be a perfect circle.