Answer:
The diameter of the tree is 46000 cm
Explanations:
The diameter of the tree trunk is modeled by the function:
[tex]d(h)=1.3h^{\frac{3}{2}}[/tex]
Where h represents the height of the tree in meters
When h = 50 m
Substitute h = 50 m into the given equation
[tex]\begin{gathered} d(50)=1.3(50)^{\frac{3}{2}} \\ d(50)=1.3(50)^{1.5} \\ d(50)\text{ = 1.3}\times353.55 \\ d(50)\text{ = }459.615\text{ m} \\ d(50)\text{ = 460 m} \end{gathered}[/tex]
The diameter of the tree is 460 m
To convert the diameter to cm, multiply it by 100
d = 460 x 100
d = 46000 cm
The diameter of the tree is 46000 cm
