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Published byShauna O’Neal’ Modified over 9 years ago
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Surface Area of Cylinders Return to table of contents
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How would you find the surface area of a cylinder?
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Notice the length of the rectangle is actually the circumference of the circular base. Steps 1. Find the area of the 2 circular bases. 2.Find the area of the curved surface (actually, a rectangle). 3. Add the two areas. 4. Label answer.
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Radius Curved Side = Circumference of Circular Base HEIGHTHEIGHT HEIGHTHEIGHT Radius
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Area of Circles = 2 ( r 2 ) Area of Curved Surface = Circumference Height = dh 2 r 2 + dh 2 r 2 + 2 rh -or- Radius Curved Side = Circumference of Circular Base HEIGHTHEIGHT HEIGHTHEIGHT Radius
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Find the surface area of a cylinder whose height is 14 inches and whose base has a diameter of 16 inches. 14 in 16 in Area of Circles = 2 ( r 2 ) 2 ( 8 2 ) = 2 (64 ) = 128 = 401.92 in 2 Area of Curved Surface = Circumference Height = d Height = (16)(14) = 224 = 703.36 in 2 Surface Area = 401.92 + 703.36 = 1105.28 in 2
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45Find the surface area of a cylinder whose height is 8 inches and whose base has a diameter of 6 inches.
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46Find the surface area of a cylinder whose height is 14 inches and whose base has a diameter of 16 inches.
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47How much material is needed to make a cylindrical orange juice can that is 15 cm high and has a diameter of 10 cm?
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48Find the surface area of a cylinder with a height of 14 inches and a base radius of 8 inches.
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49A cylindrical feed tank on a farm needs to be painted. The tank has a diameter 7.5 feet and a height of 11 ft. One gallon of paint covers 325 square feet. Do you have enough paint? Explain. A Yes B No
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