Question

what is the volume of this cylinder? round your answer to the nearest hundredth. 6 cm 6 cm cubic centimeters

Explanation:

Step1: Recall volume formula

The volume formula for a cylinder is $V = \pi r^{2}h$, where $r$ is the radius and $h$ is the height.

Step2: Identify values

From the image, $r = 6$ cm and $h=6$ cm.

Step3: Substitute values

Substitute $r = 6$ and $h = 6$ into the formula: $V=\pi\times(6)^{2}\times6$.

Step4: Calculate

First, $(6)^{2}=36$, then $V=\pi\times36\times6 = 216\pi$.
Using $\pi\approx3.14159$, $V\approx216\times3.14159 = 678.58444$.

Step5: Round

Rounding to the nearest hundredth, $V\approx678.58$ $cm^{3}$.

Answer:

$678.58$