Full solution

Q. What is the surface area of the cylinder height

5

and radius

4

Identify Formula: Identify the formula for the surface area of a cylinder. $\newline$ The surface area (SA) of a cylinder can be found using the formula $SA = 2\pi r(h + r)$ , where $r$ is the radius and $h$ is the height of the cylinder.
Plug in Values: Plug in the given values into the formula. $\newline$ Given $r = 4$ and $h = 5$ , we substitute these values into the formula to get $SA = 2\pi(4)(5 + 4)$ .
Perform Addition: Perform the addition inside the parentheses. $\newline$ Calculate the sum of the height and the radius: $5 + 4 = 9$ .
Multiply Values: Multiply the values to find the surface area. $\newline$ Now multiply $2$ , $\pi$ , $4$ , and $9$ together to get the surface area: $SA = 2 \times \pi \times 4 \times 9$ .
Calculate Surface Area: Calculate the numerical value of the surface area. $\newline$ $SA = 2 \times \pi \times 4 \times 9 = 8 \times \pi \times 9 = 72\pi$ .
Convert to Decimal: Convert the surface area to a decimal if necessary. $\newline$ Since $\pi$ is approximately $3.14159$ , we can calculate the surface area in decimal form as $SA \approx 72 \times 3.14159 \approx 226.194$ .