Question

what is the volume of this cylinder? use π ≈ 3.14 and round your answer to the nearest hundredth. diagram of a cylinder with radius labeled 4 m and height labeled 2 m empty box cubic meters submit

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

From the diagram, the radius \( r = 4\space m \) and the height \( h=2\space m \).

Step3: Substitute the values into the formula

Substitute \( r = 4 \), \( h = 2 \) and \( \pi\approx3.14 \) into the formula:
\( V=3.14\times4^{2}\times2 \)
First, calculate \( 4^{2}=16 \). Then the expression becomes \( V = 3.14\times16\times2 \).

Step4: Perform the multiplication

First, multiply \( 3.14\times16 = 50.24 \). Then multiply \( 50.24\times2=100.48 \).

Answer:

\( 100.48 \)