Question

what is the volume of this cylinder? round your answer to the nearest hundredth. 17 m (pointing to radius) 17 m (pointing to height) blank cubic meters submit

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

Step2: Identify the values of \( r \) and \( h \)

From the diagram, the radius \( r = 17 \, \text{m} \) and the height \( h = 17 \, \text{m} \).

Step3: Substitute the values into the formula

Substitute \( r = 17 \) and \( h = 17 \) into the formula:
\[
V = \pi \times (17)^2 \times 17
\]
First, calculate \( (17)^2 = 289 \). Then, multiply by 17: \( 289 \times 17 = 4913 \). So,
\[
V = \pi \times 4913
\]

Step4: Calculate the numerical value

Using \( \pi \approx 3.14159 \), we get:
\[
V \approx 3.14159 \times 4913
\]
\[
V \approx 15430.34
\]

Answer:

\( 15430.34 \) cubic meters