Question

1. The diameter of the base of a cylinder is 18 cm and its height is 2.5 times its base

radius. Find the volume of the cylinder.

Answer 1

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: