Q. 45.0( 2 Votes )

A cylinder of radius 2 cm and height 10 cm is melted into small spherical balls of diameter 1 cm. Find the number of such balls.

Answer :

Given.


Cylinder of radius 2 cm and height 10 cm


spherical balls of diameter 1 cm


Formula used/Theory.


Volume of cylinder = πr2h


Volume of sphere = πr3


Volume of cylinder = πr2h


= π × (2 cm) 2 × 10 cm


= 40π cm3


Radius of sphere = = 0.5 cm


Volume of sphere = πr3


= π (0.5 cm) 3


= π cm3


**Note we will not put value of π as it will be divided in next step


Number of spherical balls will be dividing the total volume of cylinder by volume of 1 spherical ball


Number of spherical balls = = 240


240 Spherical balls can be made by melting cylinder


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 VolumesSurface Area and VolumesSurface Area and Volumes43 mins
RD Sharma | Imp Concepts : Surface Area And VolumesRD Sharma | Imp Concepts : Surface Area And VolumesRD Sharma | Imp Concepts : Surface Area And Volumes43 mins
IMP Formula's and Qs For Surface Area and VolumesIMP Formula's and Qs For Surface Area and VolumesIMP Formula's and Qs For Surface Area and Volumes45 mins
RD Sharma | Imp. Qs. From Surface Area And VolumesRD Sharma | Imp. Qs. From Surface Area And VolumesRD Sharma | Imp. Qs. From Surface Area And Volumes47 mins
Quiz | Surface Area and VolumesQuiz | Surface Area and VolumesQuiz | Surface Area and Volumes42 mins
Surface Area and VolumeSurface Area and VolumeSurface Area and Volume49 mins
Areas Related to CircleAreas Related to CircleAreas Related to Circle36 mins
Quiz | Areas Related to CirclesQuiz | Areas Related to CirclesQuiz | Areas Related to Circles43 mins
Foundation | Let's Understand Some High Level ConceptsFoundation | Let's Understand Some High Level ConceptsFoundation | Let's Understand Some High Level Concepts41 mins
Idioms and PhrasesIdioms and PhrasesIdioms and Phrases43 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
RELATED QUESTIONS :