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 tower is 15.5 cm find the total surface area of the toy
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Answer:
rad.of cone =rad.of hemisphere=3.5 cm (given)
Also,
ht of toy=15.5 cm (given)
ht of hemisphere=3.5 cm
ht of cone=15.5-3.5
=12cm
slant ht. of cone=under root h^2+r^2
=under root (12^2+3.5^2)
=under root 144+12.25
=under root 156.25
= 12.5 cm
CSA oc hemisphere=2×22/7×(3.5)^2
=77 cm^2
CSA of cone=22/7×3.5×12.5
=137.5 cm^2
TSA of toy=CSA of hemisphere+CSA of cone
=77+137.5
=214.5cm^2
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