Question

what is the volume of this cylinder? round your answer to the nearest hundredth. 19 m 13 m 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 radius and height

From the problem, the radius \( r = 19\space m \) and the height \( h=13\space m \).

Step3: Substitute the values into the formula

Substitute \( r = 19 \) and \( h = 13 \) into \( V=\pi r^{2}h \).

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Step4: Calculate the numerical value

Using \( \pi\approx3.1415926535 \), we have \( V\approx4693\times3.1415926535\).

$$ V\approx4693\times3.1415926535 = 14743.59\space m^{3} $$

Answer:

\(14743.59\)