Question

The height of a cylinder is 6 centimeters. The circumference of the base of the cylinder is 14 centimeters

Which measurement is closest to the volume of the cylinder in cubic centimeters

Answer 1

The volume of a cylinder is calculated using the formula V = πr^2h, where r is the radius of the base and h is the height of the cylinder.

First, we need to find the radius of the base of the cylinder. The circumference of the base is given by the formula C = 2πr. We are given that the circumference is 14 cm, so we can solve for the radius:

14 = 2πr
r = 14 / (2π)
r ≈ 2.23 cm

Now that we have the radius and height, we can calculate the volume of the cylinder:

V = π(2.23)^2(6)
V ≈ π(4.98)(6)
V ≈ 94.26 cm^3

Therefore, the volume of the cylinder is closest to 94.26 cubic centimeters.