Question

Find the lateral area and the surface area of the right cylinder. Round your answer to the nearest hundredth

Answer 1

`\begin{gathered} \text{The lateral area is given as 2}\pi rh,\text{ } \\ \text{where r is the radius of the circle = 5}m \\ \text{and h }=\text{ height of the cylinder = 11m} \\ \text{Lateral area = 2}*(22)/(7)*5*11 \\ =\text{ 345.71428 } \\ =345.71m^2\text{ to the nearest hundredth.} \end{gathered}`
`\begin{gathered} \text{The surface area = lateral area + area of the two circles top and below} \\ \text{area of a circle = }\pi r^2 \\ \text{area for the two circles = 2 }\pi r^2\text{ = 2}*(22)/(7)*5^2 \\ \text{area of the two circles = }(1100)/(7)\text{ = 157.14285 } \\ We\text{ will add 157.14285 to the lateral surface to get the surface area} \\ \text{Surface area = 157.14285 + 345.71428} \\ =\text{ 502.85714 } \\ S\text{urface area }=502.86m^2\text{ to the nearest hundredth} \end{gathered}`