Q. 65.0( 4 Votes )

# A cylinder, whose height is two-thirds of its diameter, has the same volume as a sphere of radius 4 cm. Calculate the radius of the base of the cylinder.

Answer :

Let height of a cylinder = h

and diameter = d

According to question,

Given: Radius of Sphere, R = 4cm

Volume of Cylinder = Volume of Sphere (Given)

⇒ r^{3} = R^{3}

⇒ r^{3} = 4^{3}

⇒ r = 4cm

Hence, Radius of base of the cylinder is 4cm.

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 Volumes43 mins

RD Sharma | Imp Concepts : Surface Area And Volumes43 mins

IMP Formula's and Qs For Surface Area and Volumes45 mins

RD Sharma | Imp. Qs. From Surface Area And Volumes47 mins

Quiz | Surface Area and Volumes42 mins

Surface Area and Volume49 mins

Areas Related to Circle36 mins

Quiz | Areas Related to Circles43 mins

Foundation | Let's Understand Some High Level Concepts41 mins

Idioms and Phrases43 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