Find the Surface Area cylinder (4)(1.5)

 $\begin{array}{r} h = & 4 \\ r = & 1.5 \end{array}$

Step 1

The surface area of a cylinder is equal to the sum of the areas of the bases each having an area of $π \cdot r^{2}$ , plus the area of the side. The area of the side is equal to the area of a rectangle with length $2 π r$ (the circumference of the base) times the height.

$2 π \cdot {(r a d i u s)}^{2} + 2 π \cdot (r a d i u s) \cdot (h e i g h t)$

Step 2

Substitute the values of the radius $r = 1.5$ and height $h = 4$ into the formula. Pi $π$ is approximately equal to $3.14$ .

$2 (π) {(1.5)}^{2} + 2 (π) (1.5) (4)$

Step 3

Simplify each term.

Raise $1.5$ to the power of $2$ .

$2 π \cdot 2.25 + 2 (π) (1.5) (4)$

Multiply $2 π \cdot 2.25$ .

Multiply $2.25$ by $2$ .

$4.5 π + 2 (π) (1.5) (4)$

Multiply $4.5$ by $π$ .

$14.13716694 + 2 (π) (1.5) (4)$

Multiply $2 π \cdot 1.5$ .

Multiply $1.5$ by $2$ .

$14.13716694 + 3 π \cdot 4$

Multiply $3$ by $π$ .

$14.13716694 + 9.42477796 \cdot 4$

Multiply $9.42477796$ by $4$ .

$14.13716694 + 37.69911184$

Step 4

Add $14.13716694$ and $37.69911184$ .

$51.83627878$

Find the Surface Area cylinder (4)(1.5)

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