Final answer:
a) The volume of the cylinder is 1013.112 cubic feet,
b) the surface area is 904.608 square feet,
c) the circumference of the base is 37.704 feet, and
d) Density is mass divided by volume, and we do not have the mass of the cylinder or the material it is made of.
Step-by-step explanation:
a) To find the volume of the cylinder, we can use the formula V = πr²h, where r is the radius and h is the height.
In this case, the radius is 6 feet and the height is 3/2 times the radius, or 3/2 * 6 = 9 feet.
Substituting these values into the formula, we get V = 3.142 * (6)^2 * 9 = 1013.112 cubic feet.
b) To find the surface area of the cylinder, we can use the formula A = 2πr(r + h), where r is the radius and h is the height.
Substituting the given values, we get A = 2 * 3.142 * 6(6 + 9) = 904.608 square feet.
c) To find the circumference of the base, we can use the formula C = 2πr.
Substituting the given value of the radius, we get C = 2 * 3.142 * 6 = 37.704 feet.
d) The density of the cylinder material cannot be determined with the given information. Density is mass divided by volume, and we do not have the mass of the cylinder or the material it is made of.