Answer: 827 pounds.
Step-by-step explanation:
The formula for calculate density is:
[tex]d=\frac{m}{V}[/tex]
Where "m" is the mass and "V" is the volume.
The formula for calculate the volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where "r" is the radius and "h" is the height.
Calculate the volume of the cylindrical maple tree stump, which is 3 feet high and has a radius of 1.5 feet:
[tex]V=(3.14)(1.5ft)^2(3ft)=21.195ft^3[/tex]
Substitute the volume into and the density 39 pounds per cubic foot, into the formula [tex]d=\frac{m}{V}[/tex] and solve for "m". Then, the weight of the stump to the nearest pound is:
[tex]39\frac{lb}{ft^3}=\frac{m}{21.195ft^3}\\\\m=(39\frac{lb}{ft^3})(21.195ft^3)\\\\m=827lb[/tex]
