If a cone, a hemisphere and a cylinder have equal bases and have same height, then the ratio of their volumes is
1 : 3 : 2
2 : 3 : 1
2 : 1 : 3
1 : 2 : 3
Mensuration
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Question

If a cone, a hemisphere and a cylinder have equal bases and have same height, then the ratio of their volumes is 1. 1 : 3 : 2 2. 2 : 3 : 1 3. 2 : 1 : 3 4. 1 : 2 : 3

KnowledgeBoat · Accepted Answer

Let the common radius of shapes be r and height be h. Ratio in their volumes = Volume of cone : Volume of hemisphere : Volume of cylinder. On multiplying by 3, ratio = 1 : 2 : 3. Hence, Option 4 is the correct option.

Mathematics

If a cone, a hemisphere and a cylinder have equal bases and have same height, then the ratio of their volumes is
1 : 3 : 2
2 : 3 : 1
2 : 1 : 3
1 : 2 : 3

Mensuration

Related Questions

The volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is
3 : 4
4 : 3
9 : 16
16 : 9

A solid piece of iron in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is molded to form a sphere. The radius of the sphere is
21 cm
23 cm
25 cm
19 cm

Mathematics

If a cone, a hemisphere and a cylinder have equal bases and have same height, then the ratio of their volumes is1 : 3 : 22 : 3 : 12 : 1 : 31 : 2 : 3

Mensuration

Related Questions

The volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is3 : 44 : 39 : 1616 : 9

A solid piece of iron in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is molded to form a sphere. The radius of the sphere is21 cm23 cm25 cm19 cm

If a cone, a hemisphere and a cylinder have equal bases and have same height, then the ratio of their volumes is
1 : 3 : 2
2 : 3 : 1
2 : 1 : 3
1 : 2 : 3

The volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is
3 : 4
4 : 3
9 : 16
16 : 9

A solid piece of iron in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is molded to form a sphere. The radius of the sphere is
21 cm
23 cm
25 cm
19 cm