# The cylinder 2

Find the volume and the lateral area of a cylinder of height 12 inches and a base radius of 4 inches.

Correct result:

V =  603.186 inch3
S2 =  301.593 inch2

#### Solution:

$h=12 \ \text{inch} \ \\ r=4 \ \text{inch} \ \\ \ \\ S_{1}=\pi \cdot \ r^2=3.1416 \cdot \ 4^2 \doteq 50.2655 \ \text{inch}^2 \ \\ \ \\ V=S_{1} \cdot \ h=50.2655 \cdot \ 12=603.186 \ \text{inch}^3$
$S_{2}=2 \pi \cdot \ r \cdot \ h=2 \cdot \ 3.1416 \cdot \ 4 \cdot \ 12=301.593 \ \text{inch}^2$

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