Question

what is the volume of a cylinder, in cubic meters, with a height of 9 meters and a base diameter of 14 meters? round to the nearest tenths place.

Explanation:

Step1: Find the radius

The radius $r$ of the base is half of the diameter. Given diameter $d = 14$ m, so $r=\frac{d}{2}=\frac{14}{2}=7$ m.

Step2: Use the volume formula for a cylinder

The volume formula of a cylinder is $V=\pi r^{2}h$. Substitute $r = 7$ m and $h=9$ m into the formula: $V=\pi\times(7)^{2}\times9=\pi\times49\times9 = 441\pi$ $m^{3}$.

Step3: Calculate the value and round

$V = 441\pi\approx441\times3.14159 = 1385.44119\approx1385.4$ $m^{3}$ (rounded to the nearest tenths).

Answer:

$1385.4$