Question

a cylinder has a base diameter of 12 centimeters and a height of 18 centimeters. what is its volume in cubic centimeters, to the nearest tenths place? answer attempt 1 out of 2 v = cm³

Explanation:

Step1: Find the radius of the base

The diameter $d = 12$ cm, and the radius $r=\frac{d}{2}=\frac{12}{2}=6$ cm.

Step2: Use the cylinder - volume formula

The volume formula of a cylinder is $V=\pi r^{2}h$. Substitute $r = 6$ cm and $h = 18$ cm into the formula. So $V=\pi\times6^{2}\times18$.

Step3: Calculate the volume

First, $6^{2}=36$. Then $V=\pi\times36\times18 = 648\pi$ $cm^{3}$. Using $\pi\approx3.14159$, we have $V\approx648\times3.14159 = 2035.75932$ $cm^{3}$.

Step4: Round to the nearest tenths place

Rounding $2035.75932$ to the nearest tenths place gives $V\approx2035.8$ $cm^{3}$.

Answer:

$2035.8$