Answer :

Given: The radii of the base of a cylinder and a cone are in the ratio 3:4.


Heights of the base of a cylinder and a cone are in the ratio 2:3.


Volume of cylinder is: πr2h (here r and h are radius and height of the cylinder respectively)


Volume of cylinder is: πr2h


Let V1 be the volume of first cylinder


V1 = π(r1)2h1


Let V2 be the volume of the cone.


V2 = π(r2)2h2


V1 : V2 = π(r1)2h1 : π(r2)2h2


V1 : V2 = π × (3)2 × 2 : × π × (4)2 × 3


V1 : V2 = 18π : × 48π = 18:16 = 9:8


V1 : V2 = 9:8


That is the ratio of their volume is 9:8.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Sphere and HemisphereSphere and HemisphereSphere and Hemisphere16 mins
Right Circular CylinderRight Circular CylinderRight Circular Cylinder45 mins
Right Circular Cone And FrustumRight Circular Cone And FrustumRight Circular Cone And Frustum43 mins
Cube and CuboidCube and CuboidCube and Cuboid41 mins
Area Related to Circles- Important Formula and ConceptsArea Related to Circles- Important Formula and ConceptsArea Related to Circles- Important Formula and Concepts59 mins
Heights and Distances-IHeights and Distances-IHeights and Distances-I45 mins
History - Concept and QuestionsHistory - Concept and QuestionsHistory - Concept and Questions57 mins
Resources and Development RevisionResources and Development RevisionResources and Development Revision28 mins
Corrosion: Types, Pros and ConsCorrosion: Types, Pros and ConsCorrosion: Types, Pros and Cons41 mins
Electric MotorElectric MotorElectric Motor37 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses