Question

Please help me i have more than one question so don’t end it roght away

Answer 1

`466.29cm^2`

Step-by-step explanation: We have to find the surface area of the cylinder, the formula used is as follows:

`A=2(\pi r^2)+(2\pi rh)\rightarrow(1)`

The height of the cylinder is:

`\begin{gathered} (h)/(2)=\sqrt{((15)/(2))^2-(4.5)^2} \\ \\ h=2\sqrt{((15)/(2))^2-(4.5)^2} \\ \\ h=2√(56.25-20.25) \\ \\ h=2√(36) \\ \\ h=12cm \end{gathered}`

Therefore the surface area is calculated using the formula (1) as follows:

`\begin{gathered} \begin{equation*} A=2(\pi r^2)+(2\pi rh) \end{equation*} \\ \\ A=2(\pi(4.5cm)^2)+2\pi(4.5cm)(12cm) \\ \\ A=127.17cm^2+339.12cm^2 \\ \\ A=466.29cm^2 \end{gathered}`

The surface area of the cylinder is 466.29 square centimeters.