Nathan,an engineering student was asked to make a model shaped like a cylinder with two cones attached at its two ends. the diameter of the model is 2 cm and its length is 10 cm if each cone has the height of 1 cm, find the volume of the model that nathan made
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
Answer:
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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
