A solid is a cylinder (radius 6 cm, height 10 cm) with a cone (same radius, height 8 cm) hollowed out from its top (a conical cavity). The exposed surface = cylinder curved + cylinder bottom circle + cone's inner curved surface (the top circle is gone). Find it in cm^2, taking π = 3.14. (Cone slant = 10.) (CSA = curved surface area, TSA = total surface area)

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Accepted Answer

678.24. Cone slant l = √6^2+8^2 = 10. Cyl CSA = 2*π*r*h = 2*3.14*6*10 = 376.8. Bottom = π*r^2 = 3.14*36 = 113.04. Cone inner CSA = π*r*l = 3.14*6*10 = 188.4. Total = 376.8 + 113.04 + 188.4 = 678.24 cm^2.

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