Question

what is the volume of this cylinder? round your answer to the nearest hundredth. 14 in 6 in cubic inches

Explanation:

Step1: Identify radius and height

The radius $r = 14$ inches and height $h=6$ inches.

Step2: Use volume formula for cylinder

The volume formula of a cylinder is $V=\pi r^{2}h$. Substitute $r = 14$ and $h = 6$ into the formula: $V=\pi\times14^{2}\times6=\pi\times196\times6 = 1176\pi$.

Step3: Calculate and round

Using $\pi\approx3.14159$, $V\approx1176\times3.14159 = 3694.51684$. Rounding to the nearest hundred - th gives $V\approx3694.52$.

Answer:

$3694.52$