Answer:
The density is 787 kg/m³
Step-by-step explanation:
The formula of density is d = [tex]\frac{M}{V}[/tex] , where M is the mass and v is the volume
The formula of the volume of a cylinder is V = πr²h, where r is the radius of its base and h is its height
∵ The American white oak tree is shaped a cylinder
∵ Its radius is 0.7 m
∴ r = 0.7 m
∵ Its height is 8 m
∴ h = 8 m
- Substitute the values of r and h in the volume formula
∵ V = π(0.7)²(8)
∴ V = 3.92π m³
∴ The volume of the American white oak tree is 3.92π m³
∵ The mass of the American white oak tree is 9694 kg
∴ M = 9694 kg
- Substitute the values of M and V in the formula of density
∵ d = [tex]\frac{9694}{3.92\pi }[/tex]
∴ d = 787.1674
- Round it to the nearest whole number
∴ d = 787 kg/m³
The density is 787 kg/m³
