9. Smith designed a snow man in her craft class with silk threads and idea of geometry shapes on a piece of chart. She wants to colour the white region. Find the area she has to colour, if the dimensions of the shapes are as follows: Snowman's Body: diameter = 7 cm Face: diameter = half of that of body Eyes: diameter = 7 mm Nose: base = 1.2 cm, height = 1 cm Hat: Base = 3 cm and height = 4 cm
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Answer:
Correct option is
A
66cm
3
For the given statement first draw a diagram,
In this diagram, we can observe that
Height (h
1
) of each conical part =2 cm
Height (h
2
) of cylindrical part 12−2−2=8 cm
Radius (r) of cylindrical part = Radius of conical part =
2
3
cm
Volume of air present in the model = Volume of cylinder + 2× Volume of a cone
=πr
2
h
2
+2×πr
2
h
1
=π(
2
3
)
2
×8+2×
3
1
π(
2
3
)
2
(2)
=π×
4
9
×8+
3
2
π×
4
9
×2
=18π+3π=21π
=21×
7
22
=66 cm
2
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