17.A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius.
The total height of the toy is 15.5 cm. Find the total surface area of the toy
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Step-by-step explanation:
radius of hemisphere = radius of cone = 3.5
Height of toy- 15.5 cm
radius of hemisphere = height of hemisphere = 3.5
height of cone = 15.5- 3.5 = 12 cm
slant height => l =√ (3.5)²+(12)² =√12.25 +144 = 12.5 cm
Therefore C.S.A. of cone =π×3.5×12.5
=137.5cm2
Surface area of hemisphere =2πr2
=2×π×(3.5) 2 =77cm2
Hence T.S.A of toy =77+137.5=214.5cm
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