Question

The height of a cylinder is 12 centimeters. The diameter of the base of the cylinder is 24 centimeters.which measurement is closest to the volume of the cylinder in cubic centimeters?

Answer 1

`V=5428.67` cubic centimeters

Explanation:

No answer choices are given, so we will find the exact volume (rounded to 2 decimal places).

The volume of a cylinder is given by the formula:

`V=\pi r^2 h`

Where

V is the volume

r is the radius (half of diameter)

h is the height

Now, given

h = 12 cm

diameter = 24 cm, so radius (r) is 24/2 = 12 cm

Now, we calculate the volume:

`V=\pi r^2 h\\V=\pi(12)^2(12)\\V=1728\pi\\V=5428.67`

The volume of the cylinder is 5428.67 cubic centimeters