Question

question a cylinder has a base radius of 9 meters and a height of 15 meters. what is its volume in cubic meters, to the nearest tenths place? answer attempt 1 out of 2 $v=\square m^{3}$ submit answer watch video show examples

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 of the base and \( h \) is the height.

Step2: Substitute the given values into the formula

Given \( r = 9\) meters and \( h=15\) meters. Substitute these into the formula: \( V=\pi\times(9)^{2}\times15\).
First, calculate \( (9)^{2}=81\). Then \( V=\pi\times81\times15\).
\( 81\times15 = 1215\), so \( V = 1215\pi\).

Step3: Calculate the numerical value

Using \( \pi\approx3.14159\), then \( V=1215\times3.14159\).
\( 1215\times3.14159=(1200 + 15)\times3.14159=1200\times3.14159+15\times3.14159\).
\( 1200\times3.14159 = 3769.908\), \( 15\times3.14159=47.12385\).
\( V=3769.908+47.12385 = 3817.03185\approx3817.0\) (rounded to the nearest tenth).

Answer:

\( 3817.0\)