Answer: 376.8 cm^2
Explanation:
The formula for the surface area of a cylinder is A = 2prh +2pr^2
When:
- A = surface area
- p = value of pi (3.14 in this case)
- r = radius (= 1/2 diameter)
- h = height
When we substitute our values, we get the equation
A = 2(3.14)(4)(11) + 2(3.14)(4^2)
Now, we just multiply, square, and add our numbers to find A
A = 2(3.14)(4)(11) + 2(3.14)(4^2)
A = 2(3.14)(44) + 2(3.14)(16)
A = (6.28)(44) + (6.28)(16)
A = 276.32 + 100.48
A = 376.80
Because the hundredths place is a 0, we don't need to round.
A = 376.8
The unit is in centimeters. Area, and surface area by extent, are written in cm^2 (centimeters squared)
A = 376. 8 cm^2
Final answer: A = 376.8 cm^2