Question

3. 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:

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Answer 2

Answer:

214.5m²

Step-by-step explanation:

Radius of cone =3.5 cm, height of cone =15.5–3.5=12 cm

Slant height of cone can be calculated as follows:

l=

h

2

+r

2

=

12

2

+3.5

2

=

144+12.25

=

156.25

=12.5cm

Curved surface area of cone =πrl

7

22

×3.5×12.5

=137.5cm

2

Curved surface area of hemispherical portion=2πr

2

=2×

7

22

×3.5×3.5=77cm

2

Hence, total surface area=137.5+77=214.5m²