Dra warough did gram ofa soild
showing the combination of a
cone and cyclinder whose base
radill are same
Answers
Step-by-step explanation:
The ratio of the volumes of a cone and of a cylinder is \frac{1}{3}
3
1
It is given that the diameter and heights of cone and cylinder are equal.
Let the height of cone and cylinder be h and the diameter of cone and cylinder be d.
Since both have same diameter, therefore they have same radius r.
The volume of cone is
V_1=\frac{1}{3}\pi r^2hV
1
=
3
1
πr
2
h
The volume of cylinder is
V_2=\pi r^2hV
2
=πr
2
h
The ratio of the volumes of a cone and of a cylinder is
\frac{V_1}{V_2}=\frac{\frac{1}{3}\pi r^2h}{\pi r^2h}=\frac{1}{3}
V
2
V
1
=
πr
2
h
3
1
πr
2
h
=
3
1
Therefore the ratio of the volumes of a cone and of a cylinder is \frac{1}{3}
3
1
.
Answer:
A Circus Tent or a Hut is a combination of cone and cylinder.
Step-by-step explanation:
The rough diagram of solid showing the combination of a cone and cylinder whose base radii are same
example :
A Circus Tent or a Hut
A circus tent is a combination of a cylinder and a cone. Some circus tents also constitute a cuboid and a cone. A hut is a kutcha house and has a tent-like structure.
relationship between cone and cylinder:
The volume of the cone (V cone) is one-third that of a cylinder that has the same base and height: . The cones and cylinders shown previously are right circular cones and right circular cylinders, which means that the central axis of each is perpendicular to the base.
volume of cone 1/3x = volume of cylinder
volume of cone = 1/3\pi r²h