Question

a cylinder has a height of 9 feet and a radius of 5 feet find a the volume and b the surface area Use 3.14 for pi

Answer 1

`\begin{gathered} (a)\text{ }V=706.5ft^3 \\ \mleft(b\mright)A=439.6ft^2 \\ \end{gathered}`

Step-by-step explanation: We have to find the volume and surface area of the cylinder, with following informaton:

`\begin{gathered} h\text{ =9ft} \\ r=5\text{ ft} \\ \end{gathered}`

(a) Volume:

`\begin{gathered} V\text{ = Area Base }*\text{ Height } \\ \\ \end{gathered}`
`\begin{gathered} V=(\pi r^2)* h \\ V=\pi*(5ft)^2*9ft=(225*\pi)ft^3 \\ \therefore\leftarrow \\ V=706.5ft^3 \\ \end{gathered}`

(b) Surface are:

`\begin{gathered} A=(\text{Area base }*2)+(\text{ Height }*\text{ circumfrence )} \\ A=\pi r^2*2\text{ + h}*2\pi r \\ A=\text{ }(2r^2+2hr)=\pi(2*25+2*9*5)=\pi(50+90)=\pi(1400)=439.6ft^2 \\ \therefore\rightarrow \\ A=439.6ft^2 \end{gathered}`