Question

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​

Answer 1

Answer:

214.5cm²

Step-by-step explanation:

Total surface area of toy = Curved surface area of cone + surface area of hemisphere

Curved surface area of cone = πrl

Where r=3.5cm, Height =15.5−3.5=12cm

And hence, l=12.5cm (by using formula

1²=h²+b²)

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=214.5cm²

Answer 2

Step-by-step explanation:

Total surface area of toy = Curved surface area of cone + surface area of hemisphere

Curved surface area of cone = πrl

Where r=3.5cm, Height =15.5−3.5=12cm

Hence T.S.A of toy =77+137.5=214.5cm

2

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