Answer:
This is approximately [tex]37.7 ft^{2}[/tex] to the nearest hundredth
Step-by-step explanation:
First of all, we will need to understand that to find the lateral surface area of the cylinder, we simply need to multiply the circumference of the circular base by the height of the cylinder.
In this case, the circumference of the circular base can be obtained by the formula
[tex]2 \pi r[/tex]
Hence we will have the circumference as [tex]2 \times \pi \times \frac{2.5}{2}=7.85 feet[/tex]
Tp get the Lateral area, we will simply have to multiply this value (7.85 feet )
by the height (4.8 feet)
7.85 X 4.8 =[tex]37.68 feet ^{2}[/tex]
This is approximately [tex]37.7 ft^{2}[/tex] to the nearest hundredth
