There are a cylinder and a cone with height, h and radius r. There is also a sphere of the same radius. The height, h of the cylinder and the cone is 3 times the radius, r. If V1 is the volume of the cylinder, V2 is the volume of the cone and V3 is the volume of the sphere, write the given volumes in ascending order.
Answer:
V2<V3<V1
- Three solid figures have been provided. The volume of all three solid figures is to be compared.
Cylinder
Cone
Sphere - It is given that the height, h of the cylinder and the cone =3×r
The volume of the cylinder, V1=πr2h=πr2(3r)=3πr3
The volume of the cone, V2=13πr2h=13πr2(3r)=πr3
The volume of the sphere, V3=43πr3=1.33πr3 - On comparing the volumes of the three figures, πr3<1.33πr3<3πr3⟹V2<V3<V1