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Answer 1 · 2018-02-20T04:50:37

The calculated lateral surface area is #131.2# #"in"^2#, which is closest to D: #128# #"in"^2#.

The formula for the surface area of a cylinder is:

#2(pi*r^2) + (2pi* r)* h#,

where:

#2(pi*r^2)# is the surface area of the top and bottom, and #(2pi*r)*h# is the surface area of the lateral surface of the cylinder.

So, the lateral surface area is: #(2pi*r)*h)#.

#r=##3 1/6# #"in"##=##"3.17 in"#

#h=##6 5/8# #"in"##=##"6.625 in"#

Surface area of lateral surface of the cylinder: #(2pir)*h#

#(2pi*3.17"in")xx6.625 "in"=#

#131.2# #"in"^2#