Question

1. find the volume. round your answer to the nearest hundredth.

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: Identify the values of \( r \) and \( h \)

From the diagram, the radius \( r = 9 \) and the height \( h=18 \).

Step3: Substitute the values into the formula

Substitute \( r = 9 \) and \( h = 18 \) into the formula: \( V=\pi\times(9)^{2}\times18 \).
First, calculate \( 9^{2}=81 \). Then, \( V=\pi\times81\times18 \). Calculate \( 81\times18 = 1458 \). So, \( V = 1458\pi \).

Step4: Calculate the numerical value

Using \( \pi\approx3.14159 \), we have \( V\approx1458\times3.14159 \).
\( 1458\times3.14159 = 1458\times3+1458\times0.14159=4374 + 206.43822=4580.43822 \). Rounding to the nearest hundredth, we get \( V\approx4580.44 \).

Answer:

\( 4580.44 \)