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20) Find the surface area of the solid shown. 16 dm 17 dm 30 dm​

20) Find the surface area of the solid shown. 16 dm 17 dm 30 dm​-example-1

1 Answer

6 votes

Answer:

680π dm² = 2136.28 dm²

Explanation:

Recall:

lateral area of cone = πrs; where s = slant height = 17 dm

area of circle = πr²

lateral area of cylinder = πdh

Lateral area of cone: (3.14159)(8 dm)(17 dm) = 427.26 dm²

Area of base of cylinder: (3.14159)(8 dm)² = 201.06 dm²

Lateral area of cylinder: (3.14159)(16 dm)(30 dm) = 1507.96 dm²

Total surface area = 427.26 dm² + 201.06 dm² + 1507.96 dm²

Total surface area = 680π dm² = 2136.28 dm²

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