Answer :

Given: The ratio between the radius of the base and the height of the cylinder is 2: 3.


Volume of the Cylinder is 1617cm3


Let 2x and 3x be radius and height of the Cylinder respectively.


Volume of the Cylinder is given as: πr2h


πr2h = 1617


π × (2x)2 × (3x) = 1617


12π × x3 = 1617


x3 = = =


x = () =


r = 2 × = 7cm


and, h = 3 × = 10.5 cm


Total surface area of a cylinder is: 2πrh(r + h)


Let S be the TSA of a cylinder


S = 2πrh(r + h)


S = 2 × π × (7) × (7 + 10.5) = 2 × π × (7) × 17.5 = 770


S = 770cm2


That is, Total surface area of the cylinder is 770 cm2

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
History - Concept and QuestionsHistory - Concept and QuestionsHistory - Concept and Questions57 mins
Resources and Development RevisionResources and Development RevisionResources and Development Revision28 mins
Heights and Distances-IHeights and Distances-IHeights and Distances-I45 mins
Corrosion: Types, Pros and ConsCorrosion: Types, Pros and ConsCorrosion: Types, Pros and Cons41 mins
Revision on Substitution and  Elimination MethodRevision on Substitution and  Elimination MethodRevision on Substitution and Elimination Method44 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