Question

The mass of an American white oak tree is 9694 kg. If the radius is 0.7 m and the height is 8m, what is the density. Round answer to the nearest whole number.

Answer 1

The density is 787 kg/m³

Explanation:

The formula of density is d =
`(M)/(V)` , 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 =
`(9694)/(3.92\pi )`

∴ d = 787.1674

- Round it to the nearest whole number

∴ d = 787 kg/m³

The density is 787 kg/m³