Question

what is the volume of this cylinder? round your answer to the nearest hundredth. 26 m 20 m cubic meters

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 radius and height

The radius $r = 26$ m and the height $h=20$ m.

Step3: Substitute values into formula

$V=\pi\times(26)^{2}\times20=\pi\times676\times20 = 13520\pi$.

Step4: Calculate and round

Using $\pi\approx3.14159$, $V\approx13520\times3.14159 = 42467.3968$. Rounding to the nearest hundred - th, $V\approx42467.40$ $m^{3}$.

Answer:

$42467.40$