The model of a block of flat of the pinnacle @Duxton housing project is made to a scale of 2cm to 7.5m.The height of the model block of flat is 41.6cm.Find
1)The actual height of the block of flats,
2)The height of the model block of flat if it is made to a scale of 5cm to 12m.
Answers
Answered by
1
Answer:
66cm
3
Step-by-step explanation:
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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