Question

a cylinder has a height of 11 millimeters and a radius of 12 millimeters. what is its volume? use π ≈ 3.14 and round your answer to the nearest hundredth.

cubic millimeters

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Explanation:

Step1: Recall the formula for the volume of a cylinder

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

Step2: Substitute the given values into the formula

We are given that \( r = 12 \) millimeters, \( h=11 \) millimeters and \( \pi\approx3.14 \). Substituting these values into the formula, we get:
\( V = 3.14\times(12)^{2}\times11 \)
First, calculate \( (12)^{2}=144 \). Then the expression becomes:
\( V=3.14\times144\times11 \)

Step3: Perform the multiplication

First, multiply \( 3.14\times144 \):
\( 3.14\times144 = 452.16 \)
Then multiply the result by 11:
\( 452.16\times11=4973.76 \)

Answer:

\( 4973.76 \)