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Standard X

Mathematics

Surface Area of Combined Figures

A wooden toy ...

Question

A wooden toy is in the shape of a cone mounted on a cylinder as shown alongside. If the height of the cone is 24 cm, the total height of the toy is 60 cm and the radius of the base of the cone = twice the radius of the base of the cylinder = 10 cm; find the total surface area of the toy. [Take $π$ =3.14]

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Solution

TSAof the toy = CSA cone + CSA cylinder + Area of base of cylinder + (Area of base of cone - Area of base of cylinder)

= $720 π c m^{2}$

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TSAof the toy = CSA cone + CSA cylinder + Area of base of cylinder + (Area of base of cone - Area of base of cylinder) = 720πcm2

TSAof the toy = CSA cone + CSA cylinder + Area of base of cylinder + (Area of base of cone - Area of base of cylinder)

= $720 π c m^{2}$