# The ratio between the radius of the base and the height of a cylinder is 2:3. If the volume of the cylinder is 12936 cm3. Find the radius of the base of the cylinder.

Given,

Ratio of the base and the height of a cylinder is 2:3

So,

Let the radius of the base = r

And

The height of the cylinder = h

r : h = 2 : 3

That is,

r/h = 2/3

So,

h = 3r/2 – – – – – – – – – (i)

As,

Volume of the cylinder = 12936 cm3

πr2h=12936

22/7 × r2 × 3r/2=12936 [Using (i)]

33/7 × r3=12936

r3 = 12936 × 7/33

r3 = 2744

r = 3√2744

Therefore,

r = 14 cm

So,

The radius of the base of the cylinder is 14 cm.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Surface Area and Volume49 mins  Surface Area and Volumes43 mins  Quiz | Surface Area and Volumes42 mins  Champ Quiz | Area Related with the Circle45 mins  Quiz | Area Related with Circles47 mins  Short Cut Trick to Find Area of Triangle43 mins  Nuts and Bolts of Editing40 mins  Champ Quiz | Strength of Acids and Bases31 mins  Newton's Laws of Motion - Myths vs Facts57 mins  History of Pythagoras and His Theorem37 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 view all courses 