A toy is made by mounting a cone on a hemisphere.The radius of the cone and the hemisphere is 5cm.The total height of the toy is 17cm.Find the total surface area of the toy
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Answer: 361.42 cm²
Step-by-step explanation:
given - height of toy = 17-5 = 12cm (total height - radius = cone's height)
slant height of cone=√h²+r²
= √(12)²+(5)²
=√144+25
=√169
= 13cm
Total surface area of toy= CSA of cone + CSA of hemisphere
= (22/7 x 5 x 13) + (2 x 22/7 x 25)
= 1430/7 + 1100/7
= 361.42 cm²
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