Answer:
The radius of the base of the cylinder is half of its diameter, so the radius is:
r = 18 cm / 2 = 9 cm
The height of the cylinder is 2.5 times the radius:
h = 2.5r = 2.5(9 cm) = 22.5 cm
The volume of a cylinder is given by the formula:
V = πr^2h
Substituting the values we have found, we get:
V = π(9 cm)^2(22.5 cm)
V = π(81 cm^2)(22.5 cm)
V = 1822.5π cm^3
So the volume of the cylinder is approximately 5713.77 cubic centimeters, or 5713.77 cm^3.
Explanation: