# The cylinder 2

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

Result

V =  603.186 inch3
S2 =  301.593 inch2

#### Solution:

$h = 12 \ inch \ \\ r = 4 \ inch \ \\ \ \\ S_{ 1 } = \pi \cdot \ r^2 = 3.1416 \cdot \ 4^2 \doteq 50.2655 \ inch^2 \ \\ \ \\ V = S_{ 1 } \cdot \ h = 50.2655 \cdot \ 12 \doteq 603.1858 = 603.186 \ inch^3$
$S_{ 2 } = 2 \pi \cdot \ r \cdot \ h = 2 \cdot \ 3.1416 \cdot \ 4 \cdot \ 12 \doteq 301.5929 = 301.593 \ inch^2$

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