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.
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Answer:
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Answered by
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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
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