Find the lateral area and the surface area of a right cylinder that has a radius of 2.5 feet and a height of 7.5 feet. round your answers to the nearest hundredth.

Part a) Find the lateral area
we know that
lateral area=perimeter of the base*height
perimeter of the base=2*pi*r
for r=2.5 ft
pi=3.14
perimeter of the base=2*pi*2.5> 15.7 ft
height=7.5 ft
so
lateral area=15.7*7.5> 117.75 ft²

the answer Part a) is 
the lateral area is 117.75 ft²

Part b) find the surface area

surface area=lateral area+2*[area of the base]
area of the base=pi*r²
for r=2.5 ft
area=pi*2.5²> 19.625 ft²

surface area=117.75+2*19.625> 157 ft²

the answer Part b) is
the surface area is 157 ft²

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