Question

a cylinder has a base diameter of 18 meters and a height of 17 meters. what is its volume in cubic meters, to the nearest tenths place?
answer
v =

Explanation:

Step1: Find the radius of the base

The diameter is 18 meters, so the radius \( r=\frac{18}{2}=9 \) meters.

Step2: Recall the volume formula for a cylinder

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

Step3: Substitute the values into the formula

Substitute \( r = 9 \) meters and \( h = 17 \) meters into the formula: \( V=\pi\times9^2\times17 \).
First, calculate \( 9^2 = 81 \). Then, \( V=\pi\times81\times17 \). Calculate \( 81\times17 = 1377 \). So, \( V = 1377\pi \).

Step4: Calculate the numerical value

Using \( \pi\approx3.14159 \), we get \( V\approx1377\times3.14159 \approx 4325.2 \) (rounded to the nearest tenth).

Answer:

\( 4325.2 \)