Question

find the surface area of this cylinder. use 3.14 for π. do not round your answer. 4 cm 9 cm what is the total surface area? 100.48 cm² 226.08 cm² total sa:? cm²

Explanation:

Step1: Calculate area of two bases

The formula for the area of a circle is $A = \pi r^{2}$. Here $r = 4$ cm and $\pi=3.14$. The area of two bases is $2\times\pi r^{2}=2\times3.14\times4^{2}=2\times3.14\times16 = 100.48$ $cm^{2}$.

Step2: Calculate lateral - surface area

The formula for the lateral - surface area of a cylinder is $A = 2\pi rh$. Here $r = 4$ cm, $h = 9$ cm and $\pi = 3.14$. So $2\pi rh=2\times3.14\times4\times9=226.08$ $cm^{2}$.

Step3: Calculate total surface area

The total surface area of a cylinder $SA=2\pi r^{2}+2\pi rh$. Add the results of step 1 and step 2: $100.48 + 226.08=326.56$ $cm^{2}$.

Answer:

$326.56$ $cm^{2}$