Question

a cylinder has a height of 15 millimeters and a radius of 16 millimeters. what is its volume? round your answer to the nearest hundredth. use 3.14 for pie blank cubic millimeters submit

Explanation:

Step1: Recall the formula for the volume of a cylinder

The formula for the volume \( V \) of a cylinder is \( V=\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute the given values

We are given that \( r = 16 \) millimeters, \( h=15 \) millimeters, and \( \pi = 3.14 \). Substitute these values into the formula:
\( V=3.14\times(16)^{2}\times15 \)
First, calculate \( (16)^{2}=256 \).
Then, \( 3.14\times256 = 803.84 \).
Next, \( 803.84\times15=12057.6 \).

Answer:

\( 12057.60 \)