Mayank, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at both ends with thin film-sheet. The radius of the model is 4cm and the total height is 13 cm. If each cone has height 3cm, find the volume of the air contained in the model.
Answers
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
Step-by-step explanation:
Mayank, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at both ends with thin film-sheet. The radius of the model is 4cm and the total height is 13 cm. If each cone has height 3cm, find the volume of the air contained in the model.
