Q. 85.0( 3 Votes )

# 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 cm^{3}. Find the radius of the base of the cylinder.

Answer :

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 cm^{3}

⇒ πr^{2}h=12936

⇒ 22/7 × r^{2} × 3r/2=12936 [Using (i)]

⇒ 33/7 × r^{3}=12936

⇒ r^{3} = 12936 × 7/33

⇒ r^{3} = 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 Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation