Answer:
Surface Area = 150.796 ft² (nearest thousandth)
Step-by-step explanation:
Surface area of a cylinder
[tex]\sf SA=2 \pi r^2+2 \pi rh[/tex]
where:
- r is the radius
- h is the height
Given:
- radius (r) = 4 ft
- height (h) = 2 ft
Substitute the given values into the formula and solve for SA:
[tex]\begin{aligned}\sf SA & = \sf 2 \pi r^2 + 2 \pi rh\\\implies \sf SA & = \sf 2 \pi (4)^2 + 2 p\i (4)(2)\\& = \sf 2 \pi (16) + 2 \pi (8)\\& = \sf 32 \pi + 16 \pi \\& = \sf 48 \pi \\& = \sf 150.7964474... \\& = \sf 150.796 \:ft^2\: (nearest\:thousandth)\end{aligned}[/tex]
Therefore, the surface area of the cylinder with height 2 ft and radius 4ft is 150.796 ft² (nearest thousandth).
