Question

what is the volume of this cylinder? use π ≈ 3.14 and round your answer to the nearest hundredth. image of a cylinder with 8 in (diameter, indicated by an arrow on the top) and 13 in (height) shown
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Explanation:

Step1: Find the radius of the cylinder

The diameter of the cylinder is given as 8 inches. The radius \( r \) is half of the diameter, so \( r=\frac{8}{2}=4 \) inches.

Step2: 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.

Step3: Substitute the values into the formula

We know that \( \pi\approx3.14 \), \( r = 4 \) inches, and \( h = 13 \) inches. Substituting these values into the formula, we get:
\( V=3.14\times4^{2}\times13 \)
First, calculate \( 4^{2}=16 \). Then, \( 3.14\times16 = 50.24 \). Finally, \( 50.24\times13=653.12 \).

Answer:

653.12