A builder has made a scale model of a real house .The volumes of air in the living rooms of the model and the real house are respectively 27500cm³ and 220cm³ .The door of the real house has an area of 7m².Find the area of the door of the model house.?
Answers
Answer:
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
solution
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
solution