Question

a cylinder has a height of 18 meters and a radius of 18 meters. what is its volume? use π ≈ 3.14 and round your answer to the nearest hundredth.

□ cubic meters

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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 into the formula

We are given that \( r = 18 \) meters, \( h=18 \) meters, and \( \pi\approx3.14 \). Substituting these values into the formula, we get:
\( V = 3.14\times(18)^{2}\times18 \)
First, calculate \( (18)^{2}=18\times18 = 324 \).
Then, the expression becomes \( V=3.14\times324\times18 \).

Step3: Perform the multiplication

First, multiply \( 3.14\times324 \):
\( 3.14\times324 = 1017.36 \)
Then, multiply the result by 18:
\( 1017.36\times18=18312.48 \)

Answer:

\( 18312.48 \)